Symmetric Generation Of Groups
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Author | : Robert Curtis |
Publisher | : Cambridge University Press |
Total Pages | : 333 |
Release | : 2007-07-05 |
Genre | : Mathematics |
ISBN | : 052185721X |
Comprehensive text which develops the notion of symmetric generation and applies the technique to sporadic simple groups.
Author | : Alexei Borodin |
Publisher | : Cambridge University Press |
Total Pages | : 169 |
Release | : 2017 |
Genre | : Mathematics |
ISBN | : 1107175550 |
An introduction to the modern representation theory of big groups, exploring its connections to probability and algebraic combinatorics.
Author | : Robert Curtis |
Publisher | : Cambridge University Press |
Total Pages | : 315 |
Release | : 1998-06-11 |
Genre | : Mathematics |
ISBN | : 0521575877 |
Proceedings containing twenty articles by leading experts in group theory and its applications.
Author | : A. Barlotti |
Publisher | : Springer Science & Business Media |
Total Pages | : 455 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9401133824 |
Every group is represented in many ways as an epimorphic image of a free group. It seems therefore futile to search for methods involving generators and relations which can be used to detect the structure of a group. Nevertheless, results in the indicated direction exist. The clue is to ask the right question. Classical geometry is a typical example in which the factorization of a motion into reflections or, more generally, of a collineation into central collineations, supplies valuable information on the geometric and algebraic structure. This mode of investigation has gained momentum since the end of last century. The tradition of geometric-algebraic interplay brought forward two branches of research which are documented in Parts I and II of these Proceedings. Part II deals with the theory of reflection geometry which culminated in Bachmann's work where the geometric information is encoded in properties of the group of motions expressed by relations in the generating involutions. This approach is the backbone of the classification of motion groups for the classical unitary and orthogonal planes. The axioms in this char acterization are natural and plausible. They provoke the study of consequences of subsets of axioms which also yield natural geometries whose exploration is rewarding. Bachmann's central axiom is the three reflection theorem, showing that the number of reflections needed to express a motion is of great importance.
Author | : C. M. Campbell |
Publisher | : Cambridge University Press |
Total Pages | : 305 |
Release | : 2011-06-16 |
Genre | : Mathematics |
ISBN | : 1139498282 |
This second volume of a two-volume book contains selected papers from the international conference Groups St Andrews 2009. Leading researchers in their respective areas, including Eammon O'Brien, Mark Sapir and Dan Segal, survey the latest developments in algebra.
Author | : Thomas Breuer |
Publisher | : Cambridge University Press |
Total Pages | : 216 |
Release | : 2000-09-21 |
Genre | : Mathematics |
ISBN | : 9780521798099 |
Addresses a topic from classical analysis using modern algebraic and computational tools. For graduates and researchers.
Author | : Manjul Bhargava |
Publisher | : American Mathematical Soc. |
Total Pages | : 242 |
Release | : 2017-07-24 |
Genre | : Biography & Autobiography |
ISBN | : 1470436787 |
Classification of Finite Simple Groups, one of the most monumental accomplishments of modern mathematics, was announced in 1983 with the proof completed in 2004. Since then, it has opened up a new and powerful strategy to approach and resolve many previously inaccessible problems in group theory, number theory, combinatorics, coding theory, algebraic geometry, and other areas of mathematics. This strategy crucially utilizes various information about finite simple groups, part of which is catalogued in the Atlas of Finite Groups (John H. Conway et al.), and in An Atlas of Brauer Characters (Christoph Jansen et al.). It is impossible to overestimate the roles of the Atlases and the related computer algebra systems in the everyday life of researchers in many areas of contemporary mathematics. The main objective of the conference was to discuss numerous applications of the Atlases and to explore recent developments and future directions of research, with focus on the interaction between computation and theory and applications to number theory and algebraic geometry. The papers in this volume are based on talks given at the conference. They present a comprehensive survey on current research in all of these fields.
Author | : H.E. Rose |
Publisher | : Springer Science & Business Media |
Total Pages | : 314 |
Release | : 2009-12-16 |
Genre | : Mathematics |
ISBN | : 1848828896 |
Introduces the richness of group theory to advanced undergraduate and graduate students, concentrating on the finite aspects. Provides a wealth of exercises and problems to support self-study. Additional online resources on more challenging and more specialised topics can be used as extension material for courses, or for further independent study.
Author | : Nadia M. Ali Abbas |
Publisher | : Infinite Study |
Total Pages | : 10 |
Release | : |
Genre | : Mathematics |
ISBN | : |
In this work, some new classes of neutrosophic (1,2)-maps are investigated and discussed their basic attributions in neutrosophic bi-topological space (NBTS). In this paper, the relationships among these classes like neutrosophic (1,2)-continuous/ open/ strongly open/ generality open/ maps are discussed. Moreover, our work in this paper is examined and some examples are shown to support this research.
Author | : Roger Howe |
Publisher | : Springer |
Total Pages | : 562 |
Release | : 2015-01-04 |
Genre | : Mathematics |
ISBN | : 1493915908 |
Nolan Wallach's mathematical research is remarkable in both its breadth and depth. His contributions to many fields include representation theory, harmonic analysis, algebraic geometry, combinatorics, number theory, differential equations, Riemannian geometry, ring theory, and quantum information theory. The touchstone and unifying thread running through all his work is the idea of symmetry. This volume is a collection of invited articles that pay tribute to Wallach's ideas, and show symmetry at work in a large variety of areas. The articles, predominantly expository, are written by distinguished mathematicians and contain sufficient preliminary material to reach the widest possible audiences. Graduate students, mathematicians, and physicists interested in representation theory and its applications will find many gems in this volume that have not appeared in print elsewhere. Contributors: D. Barbasch, K. Baur, O. Bucicovschi, B. Casselman, D. Ciubotaru, M. Colarusso, P. Delorme, T. Enright, W.T. Gan, A Garsia, G. Gour, B. Gross, J. Haglund, G. Han, P. Harris, J. Hong, R. Howe, M. Hunziker, B. Kostant, H. Kraft, D. Meyer, R. Miatello, L. Ni, G. Schwarz, L. Small, D. Vogan, N. Wallach, J. Wolf, G. Xin, O. Yacobi.