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 | : 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 | : 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 | : 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 | : R. Pauncz |
Publisher | : CRC Press |
Total Pages | : 260 |
Release | : 2018-05-04 |
Genre | : Science |
ISBN | : 1351094122 |
This is the first book to provide comprehensive treatment of the use of the symmetric group in quantum chemical structures of atoms, molecules, and solids. It begins with the conventional Slater determinant approach and proceeds to the basics of the symmetric group and the construction of spin eigenfunctions. The heart of the book is in the chapter dealing with spin-free quantum chemistry showing the great interpretation value of this method. The last three chapters include the unitary group approach, the symmetric group approach, and the spin-coupled valence bond method. An extensive bibliography concludes the book.
Author | : Alla Detinko |
Publisher | : Springer |
Total Pages | : 124 |
Release | : 2013-01-13 |
Genre | : Mathematics |
ISBN | : 1447148142 |
Probabilistic Group Theory, Combinatorics and Computing is based on lecture courses held at the Fifth de Brún Workshop in Galway, Ireland in April 2011. Each course discusses computational and algorithmic aspects that have recently emerged at the interface of group theory and combinatorics, with a strong focus on probabilistic methods and results. The courses served as a forum for devising new strategic approaches and for discussing the main open problems to be solved in the further development of each area. The book represents a valuable resource for advanced lecture courses. Researchers at all levels are introduced to the main methods and the state-of-the-art, leading up to the very latest developments. One primary aim of the book’s approach and design is to enable postgraduate students to make immediate use of the material presented.
Author | : C. M. Campbell |
Publisher | : Cambridge University Press |
Total Pages | : 510 |
Release | : 2019-04-11 |
Genre | : Mathematics |
ISBN | : 110872874X |
These proceedings of 'Groups St Andrews 2017' provide a snapshot of the state-of-the-art in contemporary group theory.
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 | : 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.