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Relevant bibliographies by topics / Mathematics ; Group theory

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Academic literature on the topic 'Mathematics ; Group theory'

Author: Grafiati

Published: 4 June 2021

Last updated: 28 July 2024

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Journal articles on the topic "Mathematics ; Group theory"

1

Wang, Mingshen. "Group Theory in Number Theory." Theoretical and Natural Science 5, no. 1 (2023): 9–13. http://dx.doi.org/10.54254/2753-8818/5/20230254.

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The theory of groups exists in many fields of mathematics and has made a great impact on many fields of mathematics. In this article, this paper first introduces the history of group theory and elementary number theory, and then lists the definitions of group, ring, field and the most basic prime and integer and divisor in number theory that need to be used in this article. Then from the definitions, step by step, Euler's theorem, Bzout's lemma, Wilson's theorem and Fermat's Little theorem in elementary number theory are proved by means of definitions of group theory, cyclic groups, and even p

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Stonehewer, Stewart. "MATHEMATICAL WORKS I: GROUP THEORY." Bulletin of the London Mathematical Society 28, no. 2 (1996): 219–20. http://dx.doi.org/10.1112/blms/28.2.219.

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Pride, Stephen J. "CONTRIBUTIONS TO GROUP THEORY (Contemporary Mathematics, 33)." Bulletin of the London Mathematical Society 17, no. 6 (1985): 610–12. http://dx.doi.org/10.1112/blms/17.6.610.

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Qiu, Shengqi. "Group theory behind Rubiks Cube." Theoretical and Natural Science 9, no. 1 (2023): 151–56. http://dx.doi.org/10.54254/2753-8818/9/20240732.

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The Rubiks Cube is a widely recognized puzzle. The mathematics behind the Rubiks Cube is group theory. Group theory studies algebraic structures in mathematics such as groups, rings, and fields. The operation of the Rubiks Cube is rotation, which can be considered an operation of a group. The combination of two rotations of the Rubiks Cube can be considered the association of two operations of a group. The rotations and the combination operation of two rotations form a group called the Rubiks Cube group, and this paper presents the order of this group which is also the quantity of possible val

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Gordon, Gary. "USING WALLPAPER GROUPS TO MOTIVATE GROUP THEORY." PRIMUS 6, no. 4 (1996): 355–65. http://dx.doi.org/10.1080/10511979608965838.

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Clay, Matt. "Geometric Group Theory." Notices of the American Mathematical Society 69, no. 10 (2022): 1. http://dx.doi.org/10.1090/noti2572.

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Knapp, A. W., Andrew Baker, and Wulf Rossmann. "Matrix Groups: An Introduction to Lie Group Theory." American Mathematical Monthly 110, no. 5 (2003): 446. http://dx.doi.org/10.2307/3647845.

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Alperin, J. L. "Book Review: Group theory." Bulletin of the American Mathematical Society 17, no. 2 (1987): 339–41. http://dx.doi.org/10.1090/s0273-0979-1987-15583-2.

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Huetinck, Linda. "Group Theory: It's a SNAP." Mathematics Teacher 89, no. 4 (1996): 342–46. http://dx.doi.org/10.5951/mt.89.4.0342.

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Martin Gardner has compared the concept of a mathematical group to the grin of the Cheshue Cat. “The body of the cat (algebra as traditionally taught) vanishes, leaving only an abstract grin. A grin implies something amusing. Perhaps we can make group theory less mysterious if we do not take it too seriously” (Gardner 1966). A game like “It's a SNAP” can be used to introduce mathematical groups and make them appear less mysterious. This mathematics manipulative allows students to play with the concepts of group theory and develop an understanding of modern algebra.

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SAPIR, MARK V. "SOME GROUP THEORY PROBLEMS." International Journal of Algebra and Computation 17, no. 05n06 (2007): 1189–214. http://dx.doi.org/10.1142/s0218196707003925.

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This is a survey of some problems in geometric group theory that I find interesting. The problems are from different areas of group theory. Each section is devoted to problems in one area. It contains an introduction where I give some necessary definitions and motivations, problems and some discussions of them. For each problem, I try to mention the author. If the author is not given, the problem, to the best of my knowledge, was formulated by me first.

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Dissertations / Theses on the topic "Mathematics ; Group theory"

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McSorley, J. P. "Topics in group theory." Thesis, University of Oxford, 1986. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.376929.

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Isenrich, Claudio Llosa. "Kähler groups and Geometric Group Theory." Thesis, University of Oxford, 2017. https://ora.ox.ac.uk/objects/uuid:4a7ab097-4de5-4b72-8fd6-41ff8861ffae.

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In this thesis we study Kähler groups and their connections to Geometric Group Theory. This work presents substantial progress on three central questions in the field: (1) Which subgroups of direct products of surface groups are Kähler? (2) Which Kähler groups admit a classifying space with finite (n-1)-skeleton but no classifying space with finitely many n-cells? (3) Is it possible to give explicit finite presentations for any of the groups constructed in response to Question 2? Question 1 was raised by Delzant and Gromov. Question 2 is intimately related to Question 1: the non-trivial exa

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Evans, D. M. "Some topics in group theory." Thesis, University of Oxford, 1985. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.355748.

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Alp, Murat. "GAP, crossed inodules, Cat'1-groups : applications of computational group theory." Thesis, Bangor University, 1997. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.361168.

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Grenham, Dermot. "Some topics in nilpotent group theory." Thesis, University of Oxford, 1988. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.329954.

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Cornwell, Christopher R. "On the Combinatorics of Certain Garside Semigroups." Diss., CLICK HERE for online access, 2006. http://contentdm.lib.byu.edu/ETD/image/etd1381.pdf.

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Gatward, Sally Morrell. "On a new construction in group theory." Thesis, Queen Mary, University of London, 2011. http://qmro.qmul.ac.uk/xmlui/handle/123456789/2342.

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My supervisors Ian Chiswell and Thomas M¨uller have found a new class of groups of functions defined on intervals of the real line, with multiplication defined by analogy with multiplication in free groups. I have extended this idea to functions defined on a densely ordered abelian group. This doesn’t give rise to a class of groups straight away, but using the idea of exponentiation from a paper by Myasnikov, Remeslennikov and Serbin, I have formed another class of groups, in which each group contains a subgroup isomorphic to one of Chiswell and M¨uller’s groups. After the introduction, the se

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Nicholson, Julia. "Otto HoÌˆlder and the development of group theory and Galois theory". Thesis, University of Oxford, 1993. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.333485.

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Hert, Theresa Marie. "An efficient presentation of PGL(2,p)." CSUSB ScholarWorks, 1993. https://scholarworks.lib.csusb.edu/etd-project/690.

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Bavuma, Yanga. "Some combinatorial aspects in algebraic topology and geometric group theory." Master's thesis, University of Cape Town, 2018. http://hdl.handle.net/11427/29763.

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The present Msc thesis deals with classical topics of topology and it has been written, referring to [C. Kosniowski, Introduction to Algebraic Topology, Cambridge University Press, 1980, Cambridge], which is a well known textbook of algebraic topology. It has been selected a list of main exercises from this reference, whose solutions were not directly available, or subject to differerent methods. In fact combinatorial methods have been preferred and the result is a self-contained dissertation on the theory of the fundamental group and of the coverings. Finally, there are some recent problems i

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Books on the topic "Mathematics ; Group theory"

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Smith, Geoff C. Topics in Group Theory. Springer London, 2000.

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H, Walton Paul. Beginning group theory for chemistry. Oxford University Press, 1998.

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Grigore, Călugăreanu, ed. Exercises in abelian group theory. Kluwer Academic Publishers, 2003.

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Davidson, George. Group theory for chemists. Macmillan, 1991.

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Wielandt, Helmut. Mathematische Werke = Mathematical works. Walter de Gruyter, 1994.

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Danail, Bonchev, and Rouvray D. H, eds. Chemical group theory: Techniques and applications. Gordon and Breach Publishers, 1995.

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Chartrand, Gary. Mathematical proofs: A transition to advanced mathematics. 2nd ed. Pearson/Addison Wesley, 2008.

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Ramon, Esteban-Romero, and Asaad Mohamed, eds. Products of finite groups. De Gruyter, 2010.

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Paul, Sally, ed. Number, shape, and symmetry: An introduction to number theory, geometry, and group theory. A K Peters, 2012.

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Aschbacher, Michael. The classification of quasithin groups. American Mathematical Society, 2004.

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Book chapters on the topic "Mathematics ; Group theory"

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Mahan, Gerald Dennis. "Group Theory." In Applied Mathematics. Springer US, 2002. http://dx.doi.org/10.1007/978-1-4615-1315-5_3.

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Stillwell, John. "Group Theory." In Undergraduate Texts in Mathematics. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-55193-3_14.

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Stillwell, John. "Group Theory." In Undergraduate Texts in Mathematics. Springer New York, 2002. http://dx.doi.org/10.1007/978-1-4684-9281-1_19.

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Smith, Geoff. "Group Theory." In Springer Undergraduate Mathematics Series. Springer London, 1998. http://dx.doi.org/10.1007/978-1-4471-0619-7_5.

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Stillwell, John. "Group Theory." In Undergraduate Texts in Mathematics. Springer New York, 2010. http://dx.doi.org/10.1007/978-1-4419-6053-5_19.

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Stillwell, John. "Group Theory." In Undergraduate Texts in Mathematics. Springer New York, 1989. http://dx.doi.org/10.1007/978-1-4899-0007-4_18.

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Barbeau, Edward J. "Group Theory." In Problem Books in Mathematics. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-28106-3_9.

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Cocke, William, and Meng-Che ‘Turbo’ Ho. "Group Theory." In Mathematics in Cyber Research. Chapman and Hall/CRC, 2022. http://dx.doi.org/10.1201/9780429354649-14.

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Montgomery, Aaron. "Group Theory." In Mathematics of Tabletop Games. A K Peters/CRC Press, 2024. http://dx.doi.org/10.1201/9781003383529-3.

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Bhattacharjee, Meenaxi, Dugald Macpherson, Rögnvaldur G. Möller, and Peter M. Neumann. "Some group theory." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/bfb0092551.

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Conference papers on the topic "Mathematics ; Group theory"

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Léandre, Rémi. "Large Deviations Estimates in Semi‐Group Theory." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics 2008. American Institute of Physics, 2008. http://dx.doi.org/10.1063/1.2990931.

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chen, jianhong. "Fundamental theorems from group theory." In 2nd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2022), edited by Chi-Hua Chen, Xuexia Ye, and Hari Mohan Srivastava. SPIE, 2022. http://dx.doi.org/10.1117/12.2641075.

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Wu, Fengbo, Zijia Ye, Chengling Zhuge, and Jingyi Zou. "Classical results in group theory." In 2nd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2022), edited by Chi-Hua Chen, Xuexia Ye, and Hari Mohan Srivastava. SPIE, 2022. http://dx.doi.org/10.1117/12.2639427.

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Wang, Yuancankun. "Fundamental results in group theory." In 2nd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2022), edited by Chi-Hua Chen, Xuexia Ye, and Hari Mohan Srivastava. SPIE, 2022. http://dx.doi.org/10.1117/12.2639469.

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Bao, Zihui, Shiyang Hu, and Kecen Zhou. "Established results in group theory." In 2nd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2022), edited by Chi-Hua Chen, Xuexia Ye, and Hari Mohan Srivastava. SPIE, 2022. http://dx.doi.org/10.1117/12.2639420.

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Léandre, Rémi, Theodore E. Simos, George Psihoyios, and Ch Tsitouras. "Girsanov Transformation for Poisson Processes in Semi-Group Theory." In Numerical Analysis and Applied Mathematics. AIP, 2007. http://dx.doi.org/10.1063/1.2790145.

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Chen, Xinzuo. "Core of abstract algebra: group theory." In 2nd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2022), edited by Chi-Hua Chen, Xuexia Ye, and Hari Mohan Srivastava. SPIE, 2022. http://dx.doi.org/10.1117/12.2639400.

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Pramasdyahsari, Agnita Siska, Rina Dwi Setyawati, and Maya Rini Rubowo. "Developing group theory textbook which connected to the school mathematics' contents." In PROCEEDINGS OF THE 6TH NATIONAL CONFERENCE ON MATHEMATICS AND MATHEMATICS EDUCATION. AIP Publishing, 2022. http://dx.doi.org/10.1063/5.0096059.

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Pukhnachev, V. V., Michail D. Todorov, and Christo I. Christov. "Group-theoretical Methods in Convection Theory." In APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES: 3rd International Conference—AMiTaNS'11. AIP, 2011. http://dx.doi.org/10.1063/1.3659901.

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Wang, Ying, and Liang Zhao. "A method for generating star polytopes using group theory." In 2023 3rd International Conference on Applied Mathematics, Modelling and Intelligent Computing (CAMMIC 2023), edited by Xuebin Chen and Hari Mohan Srivastava. SPIE, 2023. http://dx.doi.org/10.1117/12.2686186.

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Reports on the topic "Mathematics ; Group theory"

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Hyman, J., W. Beyer, J. Louck, and N. Metropolis. Development of the applied mathematics originating from the group theory of physical and mathematical problems. Office of Scientific and Technical Information (OSTI), 1996. http://dx.doi.org/10.2172/257450.

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Hernández Agramonte, Juan Manuel, Caitlin Ludlow, Emma Näslund-Hadley, and Ernesto Martínez. IDB Briefly Noted: No. 20 : September, 2012: The Making of Little Mathematicians: Fostering Early Math Understanding in Paraguay. Inter-American Development Bank, 2012. http://dx.doi.org/10.18235/0008199.

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That four- and five-year-olds can do algebra, arithmetic, and geometry may be hard to believe. But if you visit a preschool classroom in the Cordillera region of Paraguay, you will see children who learn factoring by organizing balls and sticks into groups, and who work together to form pentagons and hexagons with their bodies. These children are participating in a project called "Tikichuela, Mathematics in My School", the result of a partnership between the Japanese and Paraguayan governments, the Organization of Ibero-American States (OEI), and the Inter-American Development Bank (IDB). The

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Busso, Matías, and Samuel Berlinski. Challenges in Educational Reform: An Experiment on Active Learning in Mathematics. Inter-American Development Bank, 2015. http://dx.doi.org/10.18235/0011680.

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This paper reports the results of an experiment with secondary school students designed to improve their ability to reason, argument, and communicate using mathematics. These goals are at the core of many educational reforms. A structured pedagogical intervention was created that fostered a more active role of students in the classroom. The intervention was implemented with high fidelity and was internally valid. Students in the control group learned significantly more than those who received treatment. A framework to interpret this result is provided in which learning is the result of student

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Álvarez Marinelli, Horacio, Samuel Berlinski, and Matías Busso. Research Insights: Can Struggling Primary School Readers Improve Their Reading through Targeted Remedial Interventions? Inter-American Development Bank, 2020. http://dx.doi.org/10.18235/0002863.

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This paper assesses the effectiveness of an intervention aimed at improving the reading skills of struggling third-grade students in Colombia. In a series of randomized experiments, students participated in remedial tutorials conducted in small groups during school hours. Trained instructors used structured pedagogical materials that can be easily scaled up. Informed by the outcomes of each cohort, the intervention tools are fine-tuned for each subsequent cohort. The paper finds positive and persistent impacts on literacy scores and positive spillovers on some mathematics scores. The effective

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Hlushak, Oksana M., Volodymyr V. Proshkin, and Oksana S. Lytvyn. Using the e-learning course “Analytic Geometry” in the process of training students majoring in Computer Science and Information Technology. [б. в.], 2019. http://dx.doi.org/10.31812/123456789/3268.

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As a result of literature analysis the expediency of free access of bachelors majoring in Computer Sciences and Information Technologies to modern information educational resources, in particular, e-learning courses in the process of studying mathematical disciplines is substantiated. It was established that the e-learning course is a complex of teaching materials and educational services created for the organization of individual and group training using information and communication technologies. Based on the outlined possibilities of applying the e-learning course, as well as its didactic f

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Semerikov, Serhiy O., Illia O. Teplytskyi, Yuliia V. Yechkalo, and Arnold E. Kiv. Computer Simulation of Neural Networks Using Spreadsheets: The Dawn of the Age of Camelot. [б. в.], 2018. http://dx.doi.org/10.31812/123456789/2648.

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The article substantiates the necessity to develop training methods of computer simulation of neural networks in the spreadsheet environment. The systematic review of their application to simulating artificial neural networks is performed. The authors distinguish basic approaches to solving the problem of network computer simulation training in the spreadsheet environment, joint application of spreadsheets and tools of neural network simulation, application of third-party add-ins to spreadsheets, development of macros using the embedded languages of spreadsheets; use of standard spreadsheet ad

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Vaughan, Tanya, Sarah Richardson, Toby Carslake, et al. Building capacity for Quality Teaching Rounds – Victoria. Final report. Australian Council for Educational Research, 2023. http://dx.doi.org/10.37517/978-1-74286-713-7.

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The Australian Council for Educational Research (ACER) was commissioned by the Teachers and Teaching Research Centre (TTRC) at the University of Newcastle to conduct an independent randomised controlled trial (RCT), with the goal of examining effects of Quality Teaching Rounds (QTR) on student outcomes and teachers’ practice in Victorian high schools. A total of 19 schools participated in Quality Teaching Rounds in 2022, with 20 schools in the wait list control. Data were gathered in an ongoing manner during the evaluation with: Progressive Assessment Tests in Mathematics (PAT-M) and reading (

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Tucker-Blackmon, Angelicque. Engagement in Engineering Pathways “E-PATH” An Initiative to Retain Non-Traditional Students in Engineering Year Three Summative External Evaluation Report. Innovative Learning Center, LLC, 2020. http://dx.doi.org/10.52012/tyob9090.

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The summative external evaluation report described the program's impact on faculty and students participating in recitation sessions and active teaching professional development sessions over two years. Student persistence and retention in engineering courses continue to be a challenge in undergraduate education, especially for students underrepresented in engineering disciplines. The program's goal was to use peer-facilitated instruction in core engineering courses known to have high attrition rates to retain underrepresented students, especially women, in engineering to diversify and broaden

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Modlo, Yevhenii O., Serhiy O. Semerikov, Stanislav L. Bondarevskyi, Stanislav T. Tolmachev, Oksana M. Markova, and Pavlo P. Nechypurenko. Methods of using mobile Internet devices in the formation of the general scientific component of bachelor in electromechanics competency in modeling of technical objects. [б. в.], 2020. http://dx.doi.org/10.31812/123456789/3677.

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An analysis of the experience of professional training bachelors of electromechanics in Ukraine and abroad made it possible to determine that one of the leading trends in its modernization is the synergistic integration of various engineering branches (mechanical, electrical, electronic engineering and automation) in mechatronics for the purpose of design, manufacture, operation and maintenance electromechanical equipment. Teaching mechatronics provides for the meaningful integration of various disciplines of professional and practical training bachelors of electromechanics based on the concep

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Incongruity between biological and chronologic age among the pupils of sports schools and the problem of group lessons effectiveness at the initial stage of training in Greco-Roman wrestling. Aleksandr S. Kuznetsov, 2021. http://dx.doi.org/10.14526/2070-4798-2021-16-1-19-23.

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Considerable influence and compulsory dropout among those, who go in for GrecoRoman wrestling at the age of 10-13, does not take into account the level of individual biological development and integral demands domination claimed on too high general physical training (GPT) (4) normatives fulfillment. It corresponds with general situation in the system of education (6, 9). In spite of uneven speed of biological development (1, 8, 9), there are general demands claimed on physical training at school for age groups (5) in accordance with chronologic age. The same situation is at sports schools. Tec

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