Dissertations / Theses on the topic 'Le groupe de Cremona'
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Lonjou, Anne. "Groupe de Cremona et espaces hyperboliques." Thesis, Toulouse 3, 2017. http://www.theses.fr/2017TOU30108/document.
Full textThe Cremona group of rank 2 is the group of birational transformations of the projective plane. The aim of this thesis is to study and build some hyperbolic spaces with a natural action of the Cremona group. We want these spaces to have good geometric properties in order to use methods coming from geometric group theory. It is known that the Cremona group acts on a hyperbolic space H which is similiar to the classical hyperbolic plane but in infinite dimension. First, using this action, we show that the Cremona group is not simple over any field. This extends previous results over an algrebraic closed field. Then we study the Wrigth's graph. We show that it doesn't have the property we are looking for, in the sense that it is not Gromov hyperbolic. We build a fundamental domain for the action of the Cremona group on H 8 via Voronoï's cells. We characterize birational tranformations that correspond to adjacent domains of the fundamental domain. This allows us to prove that the Wright's graph is quasi-isometric to the dual graph of this tessellation. It's give us a way of realizing the Wright's graph inside H. Finally, we show that by modifying the dual graph we obtain a Gromov hyperbolic graph. In the last part, we are interested in another classical property which is the CAT(0) property. We build an infinite dimensional CAT(0) cubical complex which comes with a natural action of the Cremona group
Usnich, Alexandr. "Sur le groupe de Cremona et ses sous-groupes." Phd thesis, Université Pierre et Marie Curie - Paris VI, 2008. http://tel.archives-ouvertes.fr/tel-00812808.
Full textUrech, Christian. "Subgroups of Cremona groups." Thesis, Rennes 1, 2017. http://www.theses.fr/2017REN1S041/document.
Full textThe Cremona group in n-variables Cr_n(C) is the group of birational transformations of the complex projective n-space. This thesis contributes to the research on Cremona groups through the study of certain classes of „large'' subgroups. In the first part we consider algebraic embeddings of Cr_2(C) into Cr_n(C). In particular, we describe geometrical properties of an embedding of Cr_2(C) into Cr_5(C) that was discovered by Gizatullin. We also classify all algebraic embeddings from Cr_2(C) into Cr_3(C), and we partially generalize this result to embeddings of Cr_n(C) into Cr_{n+1}(C). In a second part, we look at degree sequences of birational transformations of varieties over arbitrary fields. We show that there exist only countably many such sequences and we give new obstructions on the degree growth of automorphisms of affine n-space. In the third part, we classify subgroups of Cr_2(C) containing only elliptic elements, i.e. elements whose iterates are of bounded degree. From this we deduce in particular the Tits alternative for arbitrary subgroups of Cr_2(C). In the last part, we show that every finitely generated simple subgroup of Cr_2(C) is finite and, under the hypothesis of an unproven conjectural lemma, that a simple group can be embedded into Cr_2(C) if and only if it can be embedded into PGL_3(C)
Déserti, Julie. "Sur le groupe de Cremona : aspects algébriques etdynamiques." Phd thesis, Université Rennes 1, 2006. http://tel.archives-ouvertes.fr/tel-00125492.
Full textDéserti, Julie. "Sur le groupe de Cremona : aspects algébriques et dynamiques." Rennes 1, 2006. https://tel.archives-ouvertes.fr/tel-00125492.
Full textLippi, Cristina. "Luigi Cremona e le superficie cubiche." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2012. http://amslaurea.unibo.it/4166/.
Full textGholampour, Amin, Dagan Karp, and Sam Payne. "Cremona Symmetry in Gromov-Witten Theory." Pontificia Universidad Católica del Perú, 2016. http://repositorio.pucp.edu.pe/index/handle/123456789/97359.
Full textEn este trabajo establecemos la existencia de una simetra en el marco de la teora de Gromov-Witten para CPn y su explosion a lo largo de puntos. La naturaleza de esta simetra queda codicada en la transformacion de Cremona y su resolucion en una variedad torica del permutoedro. Esta simetra expresa algunos invariantes difciles de calcular junto con otros que no lo son tanto. Nos centramos en implicaciones enumerativas; en particular esta tecnica ofrece una prueba enuna lnea de la unicidad de la curva racional normal. Nuestro metodo involucra un estudio de la geometra torica del permutoedro, as como el de la degeneracion de los invariantes de Gromov-Witten.
Costa, da Silva Bárbara. "Transformações de Cremona definidas por monômios." Universidade Federal de Pernambuco, 2011. https://repositorio.ufpe.br/handle/123456789/7362.
Full textUniversidade Federal Rural de Pernambuco
Nesta tese abordamos as seguintes quest~oes: (a) Classificac~ao das aplicac~oes de Cremona monomial de grau 2 em qualquer numero de variaveis; (b) A estrutura da aplicac~ao inversa de uma aplicac~ao de Cremona monomial de grau 2; e (c) O papel das bases de Hilbert em aplicac~oes de Cremona monomial de grau arbitrario. Introduzimos uma forma normal de uma aplicac~ao de Cremona monomial de grau 2 calcada na estrutura de um grafo cujas arestas correspondem aos mon^omios que definem a aplicac~ao. Obtemos o formato explicito da aplicac~ao inversa, bem como os invariantes numericos associados, em termos da natureza do grafo correspondente. Os resultados s~ao fortemente calcados na vers~ao combinatoria de birracionalidade para aplicac~oes racionais definidas por mon^omios introduzida por A. Simis e R. Villarreal. Como aplicac~ao, respondemos afirmativamente a quest~oes propostas por F. Russo e R. Villarreal
Coleman, E. F. "Cremona : City and civic identity (996-1128)." Thesis, University of Oxford, 1987. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.384081.
Full textCunha, Luciana Franca da. "Transformações de cremona cubo-cúbicase o complexo quadrático de retas." Universidade Federal de Minas Gerais, 2013. http://hdl.handle.net/1843/EABA-99UME6.
Full textUma transformação é chamada de Cremona se é racional com inversa também racional. Seja G a quádrica de Plücker de P5. Um complexo quadrático X é a interseção de G com uma segunda quádrica F. Dada uma reta L X P5 e um subespaço linear M P5, M = P3, M \ L = ;, podemos considerar a projeção L : X 99K M com centro em L. Nosso objetivo é estudar a relação entre as transformações de Cremona cubo-cúbicas no espaço e complexos quadráticos de retas. A relação é a seguinte: dada duas retas L1 e L2 X mostramos que ' = L2 1L1 é uma transformação de Cremona cubo-cúbica que será classificada em termos da posição relativa das retas escolhidas. Mostra-se ainda que o lugar de base de uma tal transformação contém uma curva quíntica suave de gênero 2. A referência básica da dissertação é o artigo \On Cremona Transformations and Quadratic Complexes", dos autores D. Avritzer, G. Gonzalez-Sprinberg e I. Pan, Rendiconti del Circolo Matematico di Palermo, 57 (2008), 353-375 .
Sella, Barbara Anna. "Piety and poor relief, confraternities in medieval Cremona, c. 1334-1499." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1996. http://www.collectionscanada.ca/obj/s4/f2/dsk3/ftp04/NQ27806.pdf.
Full textDurighetto, Sara. "Géométrie birationnelle : classique et dérivée." Thesis, Toulouse 3, 2019. http://www.theses.fr/2019TOU30031.
Full textIn the field of algebraic geometry, the study of birational transformations and their properties plays a primary role. In this, there are two different approach: the classical one due to the Italian school who focuses on the Cremona group and a modern one which utilizes instruments like derived categories and semiorthogonal decompositions. About the Cremona group, that is the group of birational self- morphisms of Pn, we do not know much in general and we focus on the complex case. We know a set of generators only in dimension n = 2. Moreover, we do not have a classification of curves and linear systems in P2 up to Cremona transformations. Among the known results there are: irreducible curves and curves with two irreducible components. In this thesis we approach tha case of a configuration of lines in the projective plane. The last theorem lists the known contractible configurations. From a categorical point of view, the semiorthogonal decompositions of the derived category of a variety provide some useful invariants in the study of the variety. Following the work of Clemens-Griffiths about the complex cubic threefold, we want to characterize the obstructions to the rationality of a variety X of dimension n. The idea is to collect the component of a semiorthogonal decomposition which are not equivalent to the derived category of a variety of dimension at least n - 1. In this way we defined the so called Griffiths-Kuznetsov component of X. In this thesis we study the case of surfaces on an arbitrary field, we define that component and show that it is a birational invariant. It appears clearly that the Griffiths-Kuznetsov component vanishes only if the surface is rational
Zumhagen, Olaf. "Religiöse Konflikte und kommunale Entwicklung : Mailand, Cremona, Piacenza und Florenz zur Zeit der Pataria /." Köln : Böhlau Verl, 2002. http://catalogue.bnf.fr/ark:/12148/cb390501974.
Full textMendes, Luis Gustavo Doninelli. "Resolução de singularidades de sistemas de Pfaff no plano projetivo através do grupo de Cremona." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 1993. http://hdl.handle.net/10183/127646.
Full textWe describe a reduction of singularities of holomorphic foliations Cwith isolated singularities) in the complex projective plane by means of birational transformations of the Cremona group. This reduction is applied to the elimination of singular points of birational transformations. resulting a description of the rational surfaces.
Rollet-Starckmann, Brigitte. "Etude d'un groupe de potiers de lezoux. Groupe de quintilianvs." Paris, EPHE, 2000. http://www.theses.fr/2000EPHE4003.
Full textPerpinioti-Agazir, Kathérina. "Le groupe Tekhni." Paris 1, 2002. http://www.theses.fr/2002PA010617.
Full textDehbi, Abdellatif. "Protection et activation sélective en série glucidique, le groupe éthylidène : groupe protecteur, acétalation sous contrôle cinétique, et groupe fonctionnel, halogénation." 63-Aubière : Impr. U.E.R. Sci, 1985. http://catalogue.bnf.fr/ark:/12148/cb36110000k.
Full textBen, Abdelghani Leila. "Espace des représentations du groupe d'un nœud dans un groupe de Lie." Dijon, 1998. http://www.theses.fr/1998DIJOS025.
Full textMartin, Pierre. "Histoire du groupe Azur : les mutations d'un groupe d'assurances mutuelles (1819-2000)." Paris 1, 2003. http://www.theses.fr/2003PA010620.
Full textReynaud, Eric. "Le groupe fondamental algébrique." Phd thesis, Université Montpellier II - Sciences et Techniques du Languedoc, 2002. http://tel.archives-ouvertes.fr/tel-00202368.
Full textOliveira, Duarte Granado Botelho Amaro de. "Equity research - Groupe Renault." Master's thesis, Instituto Superior de Economia e Gestão, 2020. http://hdl.handle.net/10400.5/21052.
Full textO Grupo Renault é uma entidade internacional, que fabrica automóveis desde 1898, e vende, atualmente, cerca de 4 milhões de veículos em 134 países. Este relatório foi elaborado a 30 de junho de 2020, de acordo com as informações públicas disponíveis naquela data, e quaisquer informações e eventos subsequentes após esta data de referência não estarão refletidos nesta avaliação. O preço-alvo considerado para o final do ano de 2020, calculado ao longo do relatório, é de 30,63€ com um alto risco de investimento, que de acordo com o método de avaliação Discounted Cash Flow, representa um potencial ganho de 35,65%. Um método alternativo foi usado, método de avaliação comparável através de múltiplos, atingindo um preço final com um potencial de subida de 26%. A recomendação final é comprar, mesmo tendo em consideração o alto risco, não só pelo setor onde atua, como também pela atual pandemia que atinge o mundo. A perspetiva é de forte crescimento a curto prazo.
Group Renault is an international multi-brand group, that manufacturers cars since 1898, and is nowadays selling close to 4 million vehicles in 134 countries. This report was written on June 30, 2020, in accordance with the public information available at that date, and any information and subsequent events to this date will not be reflected on this valuation. The target price for 2020-year-end, reached at the end of the report, was of €30,63 with high risk, using the Discount Cash Flow method, representing an upside gain of 35,65%. An alternative valuation method was used, Relative valuation, which got a target price with an upside potential of 26%. The final recommendation is to buy, even considered the high risk related to, not only the industry where it operates, but also the current health-crisis affecting the world. The prospect is of a strong growth in a short-term.
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Fontes, Aislan Leal. "Transformações de cremona dadas por quádricas no espaço projetivo de dimensão 3 e 4 e suas inversas." Universidade Federal de Minas Gerais, 2013. http://hdl.handle.net/1843/EABA-99UMBD.
Full textNesse trabalho, estudaremos as transformações de Cremona dadas por quádricas do espaço linear projetivo de dimensão n com n = 3 e n = 4 , e suas inversas. Nossa abordagem utiliza um método devido a Cremona com o objetivo de determinar uma classe especial de sistemas lineares de quádricas que dão origem as transformações de Cremona. Esse método também possibilita o estudo de propriedades sobre tais transformações como, por exemplo, onde não está definida, o grau da transformação inversa e o conjunto onde não é injetiva.
Ostrowski, Birgit. "Alcoolisme et groupe recherche psychologique sur la comparaison d'un groupe de sujets alcooliques avec un groupe de sujets néphaliques "vie libre"." Paris 5, 1996. http://www.theses.fr/1996PA05H059.
Full textVan, Damme Pierre. "Espace et groupe thérapeutique : une expérience de psychothérapie de groupe de jeunes enfants." Paris 7, 1991. http://www.theses.fr/1991PA070109.
Full textLamihi, Ahmed. "Naissance de l'autogestion pedagogique. Du groupe technique educative au groupe de pedagogie institutionnelle." Paris 8, 1991. http://www.theses.fr/1991PA080566.
Full textYelnik, Catherine. "Discours de professeurs sur le groupe : une approche clinique du rapport au groupe." Paris 10, 2003. http://www.theses.fr/2003PA100127.
Full textStarting from the observation that teachers in secondary schools usually have problems with groups of pupils, the object of this thesis is to understand how they think, imagine, groups, what constitutes their relation to groups. Studies about groups are first presented in the light of pedagogy and psychoanalysis. The method of research consists in clinical interviews (unstructured), entirely recorded and transcribed. The thesis presents the analysis of the singular discourse of ten teachers, with reference to psychoanalysis as a theory of the psyche. The last chapter puts to light some dimensions of the way the teachers who were interviewed relate to groups and on some dimensions of the way the teachers who were interviewed relate to groups and on some specific aspects of classes as groups in the school world
Tesson, Emilie. "Un hybride du groupe de Thompson F et du groupe de tresses B°°." Thesis, Normandie, 2018. http://www.theses.fr/2018NORMC212/document.
Full textWe study a certain monoid specified by a presentation, denoted P, that is a hybrid of the classical presentation of the infinite braid monoid and of the presentation of Thompson’s monoid. To this end, we use several approaches. First, we describe a convergent rewrite system for P, which provides in particular a solution to the word problem, and makes the hybrid monoid reminiscent of Thompson’s monoid. Next, on the shape of the braid monoid, we use the factor reversing method to analyze the divisibility relation, and show in particular that the hybrid monoid admits cancellation and conditional right lcms. Then, we study Garside combinatorics of the hybrid: for every integer n, we introduce an element ∆(n) as the right lcm of the first (n−1) atoms, and one investigates the left divisors of the elements ∆(n), called simple elements. The main results are a counting of the left divisors of ∆(n) and a characterization of the normal forms of simple elements. We conclude with the construction of several representations of the hybrid monoid in various monoids, in particular a representation in a monoid of matrices whose entries are Laurent polynomials, which we conjecture could be faithful
ORTICONI-DE, ROCCA SERRA MICHELE. "Les marqueurs lipidiques du risque vasculaire : etude transversale d'un groupe d'hommes coronariens, d'un groupe a coronaires angiographiquement normales et d'un groupe temoin." Aix-Marseille 2, 1990. http://www.theses.fr/1990AIX20808.
Full textMohamed, Adam [Verfasser], Gabor [Akademischer Betreuer] Wiese, and John [Akademischer Betreuer] Cremona. "Some explicit aspects of modular forms over imaginary quadratic fields / Adam Mohamed. Gutachter: John Cremona. Betreuer: Gabor Wiese." Duisburg, 2011. http://d-nb.info/1018731385/34.
Full textRyckaert, Alain. "Sur le groupe des classes et le groupe local des classes d'un anneau intégré." Grenoble 2 : ANRT, 1986. http://catalogue.bnf.fr/ark:/12148/cb376009136.
Full textPittau, Lorenzo. "Le produit en couronne libre d'un groupe quantique compact par un groupe quantique d'automorphismes." Thesis, Cergy-Pontoise, 2015. http://www.theses.fr/2015CERG0781/document.
Full textIn this thesis, we define and study the free wreath product of a compact quantum group by a quantum automorphism group and, in this way, we generalize the previous notion of free wreath product by the quantum symmetric group introduced by Bichon.Our investigation is divided into two part. In the first, we define the free wreath product of a discrete group by a quantum automorphism group. We show how to describe its intertwiners by making use of decorated noncrossing partitions and from this, thanks to a result of Lemeux, we deduce the irreducible representations and the fusion rules. Then, we prove some properties of the operator algebras associated to this compact quantum group, such as the simplicity of the reduced C*-algebra and the Haagerup property of the von Neumann algebra.The second part is a generalization of the first one. We start by defining the notion of free wreath product of a compact quantum group by a quantum automorphism group. We generalize the description of the spaces of the intertwiners obtained in the discrete case and, by adapting a monoidal equivalence result of Lemeux and Tarrago, we find the irreducible representations and the fusion rules. Then, we prove some stability properties of the free wreath product operation. In particular, we find under which conditions two free wreath products are monoidally equivalent or have isomorphic fusion semirings. We also establish some analytic and algebraic properties of the dual quantum group and of the operator algebras associated to a free wreath product. As a last result, we prove that the free wreath product of two quantum automorphism groups can be seen as the quotient of a suitable quantum automorphism group
Ryckaert, Alain. "Sur le groupe des classes et le groupe local des classes d'un anneau intégre." Lyon 1, 1986. http://www.theses.fr/1986LYO19040.
Full textAval, Jean-Christophe. "Combinatoire autour du groupe symétrique." Habilitation à diriger des recherches, Université Sciences et Technologies - Bordeaux I, 2013. http://tel.archives-ouvertes.fr/tel-00978093.
Full textFLANET, MARIE-DOMINIQUE. "Medecin et habitat groupe autogere." Lille 2, 1988. http://www.theses.fr/1988LIL2M365.
Full textPardo, Frédéric. "Le groupe en droit pénal." Nice, 2004. http://www.theses.fr/2004NICE0049.
Full textThe group in criminal law puts the problem of the apprehension and the repression of the collective crime and participants' plurality in the malpractice, whatever can be its demonstrations ; these works so have for ambition to replace the various apprehensions of the group in a linear step, and want systematism. So as it will be attempted to loosen a certain cohesion in front of the visible dispersal of our repressive arsenal. It is a question of connecting the various perceptions of the group and of following the progress, so many criminological realities that social reactions. In the alder of this systematic approach of the group, are measured, in terms of opportunity, critics, evaluation positive and forward-looking, the various penal perceptions of the group, that the social reaction is ex ante, or ex post. The group appears at first as measuring instrument of the crime in power, then as a revelation of the crime in action. The repression follows a dynamics of extension, directed to the repression of the biggest attendance figures
Naanai, Noureddine. "Essai sur l'action de groupe." Paris 10, 2008. http://www.theses.fr/2008PA100191.
Full textOur society is characterized by the emergence of collective disputes linking individuals and powerful economic units. The interests at stake on the individual level is modest, the cost of action is very high compared to the relief sought, together with procedural barriers that discourage more people injured in a court. How to meet the new demands of justice involving an unorganized group of people who suffered the injury me? The introduction of a new action could be an appropriate response, this solution has been considered repeat edly by our lawyers. This is the introduction of group action. In America, Europe, the group has had a profound influence in the judicial and economic systems. With a view to bringing an action group in French. What fessons drawn from expériences?
Abi, Haidar Hiba. "Les compensations financières intra-groupe." Paris 1, 2007. http://www.theses.fr/2007PA010301.
Full textHnyková, Petra. "Marketingová strategie firmy GROUPE SEB." Master's thesis, Vysoká škola ekonomická v Praze, 2009. http://www.nusl.cz/ntk/nusl-11093.
Full textThéodoropoulos, Alexandra. "Les accords collectifs de groupe." Thesis, Lyon 3, 2015. http://www.theses.fr/2015LYO30044.
Full textOriginally confined to the industrial sector, corporate groups have gradually developed in all sectors and have become in just a few years key players in economic and social life. The business combination under supervision of parent company was accompanied by a search for unity in management methods and employees’ status. The negotiation of group agreements has developed in this context. Simple hands-on experience at the beginning, group collective bargaining has become a real level of collective bargaining recognized by the legislator. The group agreement is now set out as a standard which establishing rights and obligations between employers and employees of the group, but its place in the hierarchy of norms has not been specified. This situation generates many questions about its scope and its limits: each legislator’s contribution to the group agreements’ legal regime raises new difficulties that the social partners have to deal with. This study will attempt to identify the solutions proposed by the social partners in order to refine and secure the group agreements’ legal regime
Piron, Pascale. "Classification interne du groupe bantoïde." Doctoral thesis, Universite Libre de Bruxelles, 1996. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/212340.
Full textDufour, Magali. "Abus sexuel, comparaison entre un groupe de victimes résilientes et un groupe de victimes toxicomanes." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2000. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp02/NQ56469.pdf.
Full textVinclet, Patricia. "Les infirmières hospitalières en Basse-Normandie, groupe social ou groupe professionnel? : essai de géographie sociale." Caen, 2006. http://www.theses.fr/2006CAEN1463.
Full textSilvestri, Angelo Mario. "The power of the bishop in the Dioceses of Lincoln and Cremona (1067-1340) : a study in comparative history." Thesis, Cardiff University, 2012. http://orca.cf.ac.uk/45975/.
Full textChevillot, Christian. "Sites et cultures de l'âge du bronze en Périgord : du groupe d'Artenac au groupe de Vénat /." Périgueux : Éd. Vésuna, 1989. http://catalogue.bnf.fr/ark:/12148/cb392293053.
Full textElbaz-Vincent, Philippe. "Les indecomposables du troisieme groupe de k-theorie d'un anneau et l'homologie du groupe special lineaire." Nice, 1995. http://www.theses.fr/1995NICE4854.
Full textViallet, Marianne. "Prédimensionnement Vibroacoustique du Groupe Moto Propulseur." Phd thesis, Ecole Centrale de Lyon, 2007. http://tel.archives-ouvertes.fr/tel-00589681.
Full textGabbour, Stéphanie. "Le psychodrame auprès d'un groupe d'enfants /." Trois-Rivières : Université du Québec à Trois-Rivières, 2006. http://www.uqtr.ca/biblio/notice/tablemat/24671876TM.pdf.
Full textPérennec, Marie-Hélène. "Le Groupe nominal en allemand moderne." Lille 3 : ANRT, 1988. http://catalogue.bnf.fr/ark:/12148/cb37607670w.
Full textViallet, Laxalde Marianne. "Prédimensionnement vibroacoustique du groupe Moto propulseur." Ecully, Ecole centrale de Lyon, 2007. http://bibli.ec-lyon.fr/exl-doc/TH_T2123_mviallet.pdf.
Full textThe EU law impose to car manufacturers that their vehicles don’t exceed a given noise level. Moreover, concerning economical aspects, their customers attach more and more importance to the acoustic quality when purchasing a car. One of the most important source of noise is the powertrain. Despite limited tools existing in the early design cycle, the designers do not have any numerical methods available to choose between several geometries the most favorable according to vibroacoustics. Numerical calculations and experimental tests at the end of the project allow to notice the engine emitted noise. Only expensive and maladaptive palliative solutions can then be applied. This thesis consequently aims at providing methodologies to evaluate earlier the engine noise emitted thanks to mumerical simulations. These calculations must be carried out on simplified geometries representing the level of knowledge at this stage of the design. Moreover, fast numerical methods must allow to compare several architectures of the engine in order to select the most favorable according to vibroacoustical considerations. To achieve this, the geometrical parameters, corresponding at an early stage of the design which must appear on the simplified parts in order to obtain representative simulations, have been determined. A simplified representation methodology has been set ut and evaluated with respect to dynamics and acoustics. Moreover, it is essential to have available new methods for the acoustical radiation calculation that must be adapted to the architectures comparison. That’s why the Substructure Deletion Method (SDM) has been developped. It consists in dividing a geometrically complex acoustical problem into two sub problems, respectively finite and infinite. When comparing several architectures of the engine, an appropriate decomposition may allow the infinite calculation to be realised once whereas the finite ones may be repeated for each model. Unbounded problems are often processed using Boundary Element Methods implementations that can appear time consuming. In this purpose, a finite element method based on a cloning algorithm which is called Infinite Substructuring Method has been proposed. Finally, the SDM has been applied on an industrial case. Numerical results show a good agreement with reference alculations