Relevant bibliographies by topics / Solvable groups. Characters of groups

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Solvable groups. Characters of groups'

Author: Grafiati
Published: 4 June 2021
Last updated: 8 February 2022

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Journal articles on the topic "Solvable groups. Characters of groups"

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Isaacs, I. M. "The π-character theory of solvable groups". Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 57, № 1 (1994): 81–102. http://dx.doi.org/10.1017/s1446788700036077.

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AbstractThere is a deeper structure to the ordinary character theory of finite solvable groups than might at first be apparent. Mauch of this structure, which has no analog for general finite gruops, becomes visible onyl when the character of solvable groups are viewes from the persepective of a particular set π of prime numbers. This purely expository paper discusses the foundations of this πtheory and a few of its applications. Included are the definitions and essential properties of Gajendragadkar's π-special characters and their connections with the irreducible πpartial characters and their associated Fong characters. Included among the consequences of the theory discussed here are applications to questions about the field generated by the values of a character, about extensions of characters of subgroups and about M-groups.
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Qian, Guohua, and Yong Yang. "Permutation characters in finite solvable groups." Communications in Algebra 46, no. 1 (2017): 167–75. http://dx.doi.org/10.1080/00927872.2017.1316856.

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Parks, Alan E. "Generalized permutation characters of solvable groups." Journal of Algebra 93, no. 2 (1985): 445–74. http://dx.doi.org/10.1016/0021-8693(85)90170-x.

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Murray, John C., and Gabriel Navarro. "Characters, bilinear forms and solvable groups." Journal of Algebra 449 (March 2016): 346–54. http://dx.doi.org/10.1016/j.jalgebra.2015.10.024.

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Cossey, James P. "Counting characters above invariant characters in solvable groups." Journal of Algebra 472 (February 2017): 425–36. http://dx.doi.org/10.1016/j.jalgebra.2016.10.014.

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Dabbaghian, Vahid, and John D. Dixon. "Computing characters of groups with central subgroups." LMS Journal of Computation and Mathematics 16 (October 2013): 398–406. http://dx.doi.org/10.1112/s1461157013000211.

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AbstractThe so-called Burnside–Dixon–Schneider (BDS) method, currently used as the default method of computing character tables in GAP for groups which are not solvable, is often inefficient in dealing with groups with large centres. If $G$ is a finite group with centre $Z$ and $\lambda $ a linear character of $Z$, then we describe a method of computing the set $\mathrm{Irr} (G, \lambda )$ of irreducible characters $\chi $ of $G$ whose restriction ${\chi }_{Z} $ is a multiple of $\lambda $. This modification of the BDS method involves only $\vert \mathrm{Irr} (G, \lambda )\vert $ conjugacy classes of $G$ and so is relatively fast. A generalization of the method can be applied to computation of small sets of characters of groups with a solvable normal subgroup.Supplementary materials are available with this article.
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Madanha, Sesuai Yash. "Zeros of primitive characters of finite groups." Journal of Group Theory 23, no. 2 (2020): 193–216. http://dx.doi.org/10.1515/jgth-2019-2051.

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AbstractWe classify finite non-solvable groups with a faithful primitive irreducible complex character that vanishes on a unique conjugacy class. Our results answer a question of Dixon and Rahnamai Barghi and suggest an extension of Burnside’s classical theorem on zeros of characters.
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Wolf, Thomas R. "Character Correspondences and π-Special Characters in π-Separable Groups". Canadian Journal of Mathematics 39, № 4 (1987): 920–37. http://dx.doi.org/10.4153/cjm-1987-046-1.

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Let π be a set of primes and let G be a π-separable group (all groups considered are finite). Two subsets Xπ(G) and Bπ(G) of the set Irr(G) of irreducible characters of G play an important role in the character theory of π-separable groups and particularly solvable groups. If p is prime and π is the set of all other primes, then the Bπ characters of G give a natural one-to-one lift of the Brauer characters of G into Irr(G). More generally, they have been used to define Brauer characters for sets of primes.The π-special characters of G (i.e., Xπ(G)) restrict irreducibly and in a one-to-one fashion to a Hall-π-subgroup of G. If an irreducible character χ is quasi-primitive, it factors uniquely as a product of a π-special character an a π′-special character. This is a particularly useful tool in solvable groups.
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Navarro, Gabriel. "Vertices for characters of $p$-solvable groups." Transactions of the American Mathematical Society 354, no. 7 (2002): 2759–73. http://dx.doi.org/10.1090/s0002-9947-02-02974-4.

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Caride, A. O., S. I. Zanette, and S. R. A. Nogueira. "On the characters of solvable finite groups." Journal of Mathematical Physics 32, no. 5 (1991): 1150–54. http://dx.doi.org/10.1063/1.529310.

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Dissertations / Theses on the topic "Solvable groups. Characters of groups"

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Bissler, Mark W. "Character degree graphs of solvable groups." Kent State University / OhioLINK, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=kent1497368851849153.

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Dugan, Carrie T. "Solvable Groups Whose Character Degree Graphs Have Diameter Three." Kent State University / OhioLINK, 2007. http://rave.ohiolink.edu/etdc/view?acc_num=kent1185299573.

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Sass, Catherine Bray. "Prime Character Degree Graphs of Solvable Groups having Diameter Three." Kent State University / OhioLINK, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=kent1398110266.

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ELSHARIF, RAMADAN. "The Average of Some Irreducible Character Degrees." Kent State University / OhioLINK, 2021. http://rave.ohiolink.edu/etdc/view?acc_num=kent1616410634054592.

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Wetherell, Chris. "Subnormal structure of finite soluble groups." View thesis entry in Australian Digital Theses Program, 2001. http://thesis.anu.edu.au/public/adt-ANU20020607.121248/index.html.

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Sale, Andrew W. "The length of conjugators in solvable groups and lattices of semisimple Lie groups." Thesis, University of Oxford, 2012. http://ora.ox.ac.uk/objects/uuid:ea21dab2-2da1-406a-bd4f-5457ab02a011.

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The conjugacy length function of a group Γ determines, for a given a pair of conjugate elements u,v ∈ Γ, an upper bound for the shortest γ in Γ such that uγ = γv, relative to the lengths of u and v. This thesis focuses on estimating the conjugacy length function in certain finitely generated groups. We first look at a collection of solvable groups. We see how the lamplighter groups have a linear conjugacy length function; we find a cubic upper bound for free solvable groups; for solvable Baumslag--Solitar groups it is linear, while for a larger family of abelian-by-cyclic groups we get either a linear or exponential upper bound; also we show that for certain polycyclic metabelian groups it is at most exponential. We also investigate how taking a wreath product effects conjugacy length, as well as other group extensions. The Magnus embedding is an important tool in the study of free solvable groups. It embeds a free solvable group into a wreath product of a free abelian group and a free solvable group of shorter derived length. Within this thesis we show that the Magnus embedding is a quasi-isometric embedding. This result is not only used for obtaining an upper bound on the conjugacy length function of free solvable groups, but also for giving a lower bound for their L<sub>p</sub> compression exponents. Conjugacy length is also studied between certain types of elements in lattices of higher-rank semisimple real Lie groups. In particular we obtain linear upper bounds for the length of a conjugator from the ambient Lie group within certain families of real hyperbolic elements and unipotent elements. For the former we use the geometry of the associated symmetric space, while for the latter algebraic techniques are employed.
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Vershik, A. M., and Andreas Cap@esi ac at. "Geometry and Dynamics on the Free Solvable Groups." ESI preprints, 2000. ftp://ftp.esi.ac.at/pub/Preprints/esi899.ps.

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Yang, Yong. "Orbits of the actions of finite solvable groups." [Gainesville, Fla.] : University of Florida, 2009. http://purl.fcla.edu/fcla/etd/UFE0024783.

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Roth, Calvin L. (Calvin Lee). "Example of solvable quantum groups and their representations." Thesis, Massachusetts Institute of Technology, 1994. http://hdl.handle.net/1721.1/28104.

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Lyons, Corey Francis. "INDUCED CHARACTERS WITH EQUAL DEGREE CONSTITUENTS." Kent State University / OhioLINK, 2016. http://rave.ohiolink.edu/etdc/view?acc_num=kent1461594819.

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Books on the topic "Solvable groups. Characters of groups"

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Manz, Olaf. Representations of solvable groups. Cambridge University Press, 1993.

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1936-, Hawkes Trevor O., ed. Finite soluble groups. W. de Gruyter, 1992.

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Bencsath, Katalin A. Lectures on Finitely Generated Solvable Groups. Springer New York, 2013.

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Bencsath, Katalin A., Marianna C. Bonanome, Margaret H. Dean, and Marcos Zyman. Lectures on Finitely Generated Solvable Groups. Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-5450-2.

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Abels, Herbert. Finite Presentability of S-Arithmetic Groups Compact Presentability of Solvable Groups. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/bfb0079708.

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Finite presentability of S-arithmetic groups: Compact presentability of solvable groups. Springer-Verlag, 1987.

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Groups and characters. Wiley, 1997.

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Groups and characters. Chapman & Hall/CRC, 2000.

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Grove, Larry C. Groups and Characters. John Wiley & Sons, Inc., 1997. http://dx.doi.org/10.1002/9781118032688.

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Fujiwara, Hidenori, and Jean Ludwig. Harmonic Analysis on Exponential Solvable Lie Groups. Springer Japan, 2015. http://dx.doi.org/10.1007/978-4-431-55288-8.

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Book chapters on the topic "Solvable groups. Characters of groups"

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Isaacs, I. M. "Characters and Sets of Primes for Solvable Groups." In Finite and Locally Finite Groups. Springer Netherlands, 1995. http://dx.doi.org/10.1007/978-94-011-0329-9_13.

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Borel, Armand. "Solvable Groups." In Graduate Texts in Mathematics. Springer New York, 1991. http://dx.doi.org/10.1007/978-1-4612-0941-6_4.

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Brzeziński, Juliusz. "Solvable Groups." In Springer Undergraduate Mathematics Series. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-72326-6_12.

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Escofier, Jean-Pierre. "Solvable Groups." In Graduate Texts in Mathematics. Springer New York, 2001. http://dx.doi.org/10.1007/978-1-4613-0191-2_11.

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Sury, B. "Solvable groups." In Texts and Readings in Mathematics. Hindustan Book Agency, 2003. http://dx.doi.org/10.1007/978-93-86279-19-4_2.

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Machì, Antonio. "Nilpotent Groups and Solvable Groups." In UNITEXT. Springer Milan, 2012. http://dx.doi.org/10.1007/978-88-470-2421-2_5.

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Kirillov, A. "Solvable Lie groups." In Graduate Studies in Mathematics. American Mathematical Society, 2004. http://dx.doi.org/10.1090/gsm/064/04.

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Myasnikov, Alexei, Vladimir Shpilrain, and Alexander Ushakov. "Free solvable groups." In Non-commutative Cryptography and Complexity of Group-theoretic Problems. American Mathematical Society, 2011. http://dx.doi.org/10.1090/surv/177/19.

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Springer, T. A. "Solvable F-groups." In Linear Algebraic Groups. Birkhäuser Boston, 2009. http://dx.doi.org/10.1007/978-0-8176-4840-4_14.

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San Martin, Luiz A. B. "Solvable and Nilpotent Groups." In Lie Groups. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-61824-7_10.

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Conference papers on the topic "Solvable groups. Characters of groups"

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RHEMTULLA, AKBAR, and HOWARD SMITH. "ON INFINITE SOLVABLE GROUPS." In Proceedings of the AMS Special Session. WORLD SCIENTIFIC, 1993. http://dx.doi.org/10.1142/9789814503723_0010.

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Luks, E. M. "Computing in solvable matrix groups." In Proceedings., 33rd Annual Symposium on Foundations of Computer Science. IEEE, 1992. http://dx.doi.org/10.1109/sfcs.1992.267813.

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Watrous, John. "Quantum algorithms for solvable groups." In the thirty-third annual ACM symposium. ACM Press, 2001. http://dx.doi.org/10.1145/380752.380759.

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Kahrobaei, Delaram. "Doubles of Residually Solvable Groups." In A Festschrift in Honor of Anthony Gaglione. WORLD SCIENTIFIC, 2008. http://dx.doi.org/10.1142/9789812793416_0013.

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Eskin, Alex, and David Fisher. "Quasi-isometric Rigidity of Solvable Groups." In Proceedings of the International Congress of Mathematicians 2010 (ICM 2010). Published by Hindustan Book Agency (HBA), India. WSPC Distribute for All Markets Except in India, 2011. http://dx.doi.org/10.1142/9789814324359_0092.

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Li, Xianhua. "On Some Results of Finite Solvable Groups." In The International Conference on Algebra 2010 - Advances in Algebraic Structures. WORLD SCIENTIFIC, 2011. http://dx.doi.org/10.1142/9789814366311_0029.

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Prada, Rui, and Ana Paiva. "Believable groups of synthetic characters." In the fourth international joint conference. ACM Press, 2005. http://dx.doi.org/10.1145/1082473.1082479.

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Omer, S. M. S., N. H. Sarmin, and A. Erfanian. "The orbit graph for some finite solvable groups." In PROCEEDINGS OF THE 3RD INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES. AIP Publishing LLC, 2014. http://dx.doi.org/10.1063/1.4882585.

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Gilani, Alireza, and Ali Moghani. "INTEGER‐VALUED CHARACTERS FOR SOME SPORADIC GROUPS." In ICMS INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCE. American Institute of Physics, 2010. http://dx.doi.org/10.1063/1.3525131.

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Ballesteros, A., A. Blasco, and F. Musso. "Lotka-Volterra systems as Poisson-Lie dynamics on solvable groups." In XX INTERNATIONAL FALL WORKSHOP ON GEOMETRY AND PHYSICS. AIP, 2012. http://dx.doi.org/10.1063/1.4733365.

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