Low Rank Representations And Graphs For Sporadic Groups
DOWNLOAD
Download Low Rank Representations And Graphs For Sporadic Groups PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Low Rank Representations And Graphs For Sporadic Groups book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Low Rank Representations And Graphs For Sporadic Groups
DOWNLOAD
Author : Cheryl E. Praeger
language : en
Publisher: Cambridge University Press
Release Date : 1996-12-05
Low Rank Representations And Graphs For Sporadic Groups written by Cheryl E. Praeger and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-12-05 with Mathematics categories.
This book presents a complete classification of the transitive permutation representations of rank at most five of the sporadic simple groups and their automorphism groups, together with a comprehensive study of the vertex-transitive graphs associated with these representations. Included is a list of all vertex-transitive, distance-regular graphs on which a sporadic almost simple group acts with rank at most five. In this list are some new, interesting distance-regular graphs of diameter two, which are not distance-transitive. For most of the representations a presentation of the sporadic group is given, with words in the given generators which generate a point stabiliser: this gives readers sufficient information to reconstruct and study the representations and graphs. Practical computational techniques appropriate for analysing finite vertex-transitive graphs are described carefully, making the book an excellent starting point for learning about groups and the graphs on which they act.
Geometry Of Sporadic Groups Volume 1 Petersen And Tilde Geometries
DOWNLOAD
Author : A. A. Ivanov
language : en
Publisher: Cambridge University Press
Release Date : 1999-06-17
Geometry Of Sporadic Groups Volume 1 Petersen And Tilde Geometries written by A. A. Ivanov and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-06-17 with Mathematics categories.
Important monograph on finite group theory.
Topics In Algebraic Graph Theory
DOWNLOAD
Author : Lowell W. Beineke
language : en
Publisher: Cambridge University Press
Release Date : 2004-10-04
Topics In Algebraic Graph Theory written by Lowell W. Beineke and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-04 with Mathematics categories.
There is no other book with such a wide scope of both areas of algebraic graph theory.
Ever Evolving Groups
DOWNLOAD
Author : Alexander A. Ivanov
language : en
Publisher: Springer Nature
Release Date : 2025-07-02
Ever Evolving Groups written by Alexander A. Ivanov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-02 with Mathematics categories.
This book presents an original approach to the theory of finite groups, placing finite sporadic groups on an equal footing. It provides a nearly comprehensive overview of developments in the study of sporadic groups since the classification of finite simple groups was completed. Authored by one of the key contributors to these developments, a major theme of the book is the growing role that geometry has played in this story in the form of diagram geometries, amalgams, graph theory and “pushing up”. The chapters interweave various ideas and techniques applicable to all sporadic groups. Many of the results presented—several due to the author and collaborators—appear in book form for the first time. While much of the book describes developments from recent decades, it also includes significant new material, notably on the enigmatic Thompson group and the Monster. The final chapter explores connections to Majorana algebras and discusses some remarkable conjectures. A valuable addition to the literature on finite simple groups, this book will appeal to a wide audience, from advanced graduate students to researchers in group theory, combinatorics, finite geometry, coding theory, graph theory, and other mathematical fields that use group theory to study symmetries and structures.
Groups And Computation Iii
DOWNLOAD
Author : William M. Kantor
language : en
Publisher: Walter de Gruyter
Release Date : 2014-01-02
Groups And Computation Iii written by William M. Kantor and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-02 with Mathematics categories.
This volume contains contributions by the participants of the conference "Groups and Computation", which took place at The Ohio State University in Columbus, Ohio, in June 1999. This conference was the successor of two workshops on "Groups and Computation" held at DIMACS in 1991 and 1995. There are papers on permutation group algorithms, finitely presented groups, polycyclic groups, and parallel computation, providing a representative sample of the breadth of Computational Group Theory. On the other hand, more than one third of the papers deal with computations in matrix groups, giving an in-depth treatment of the currently most active area of the field. The points of view of the papers range from explicit computations to group-theoretic algorithms to group-theoretic theorems needed for algorithm development.
Representations Of Lie Algebras
DOWNLOAD
Author : Anthony Henderson
language : en
Publisher: Cambridge University Press
Release Date : 2012-08-16
Representations Of Lie Algebras written by Anthony Henderson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-16 with Mathematics categories.
This bold and refreshing approach to Lie algebras assumes only modest prerequisites (linear algebra up to the Jordan canonical form and a basic familiarity with groups and rings), yet it reaches a major result in representation theory: the highest-weight classification of irreducible modules of the general linear Lie algebra. The author's exposition is focused on this goal rather than aiming at the widest generality and emphasis is placed on explicit calculations with bases and matrices. The book begins with a motivating chapter explaining the context and relevance of Lie algebras and their representations and concludes with a guide to further reading. Numerous examples and exercises with full solutions are included. Based on the author's own introductory course on Lie algebras, this book has been thoroughly road-tested by advanced undergraduate and beginning graduate students and it is also suited to individual readers wanting an introduction to this important area of mathematics.
Classical Groups Derangements And Primes
DOWNLOAD
Author : Timothy C. Burness
language : en
Publisher: Cambridge University Press
Release Date : 2016-01-15
Classical Groups Derangements And Primes written by Timothy C. Burness and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-01-15 with Mathematics categories.
A graduate-level introduction to finite classical groups featuring a comprehensive account of the conjugacy and geometry of elements of prime order.
Orthogonal Latin Squares Based On Groups
DOWNLOAD
Author : Anthony B. Evans
language : en
Publisher: Springer
Release Date : 2018-08-17
Orthogonal Latin Squares Based On Groups written by Anthony B. Evans and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-17 with Mathematics categories.
This monograph presents a unified exposition of latin squares and mutually orthogonal sets of latin squares based on groups. Its focus is on orthomorphisms and complete mappings of finite groups, while also offering a complete proof of the Hall–Paige conjecture. The use of latin squares in constructions of nets, affine planes, projective planes, and transversal designs also motivates this inquiry. The text begins by introducing fundamental concepts, like the tests for determining whether a latin square is based on a group, as well as orthomorphisms and complete mappings. From there, it describes the existence problem for complete mappings of groups, building up to the proof of the Hall–Paige conjecture. The third part presents a comprehensive study of orthomorphism graphs of groups, while the last part provides a discussion of Cartesian projective planes, related combinatorial structures, and a list of open problems. Expanding the author’s 1992 monograph, Orthomorphism Graphs of Groups, this book is an essential reference tool for mathematics researchers or graduate students tackling latin square problems in combinatorics. Its presentation draws on a basic understanding of finite group theory, finite field theory, linear algebra, and elementary number theory—more advanced theories are introduced in the text as needed.
Moonshine The Monster And Related Topics
DOWNLOAD
Author : Chongying Dong
language : en
Publisher: American Mathematical Soc.
Release Date : 1996
Moonshine The Monster And Related Topics written by Chongying Dong and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.
This is the proceedings of a Joint Summer Research Conference held at Mount Holyoke College in Jun 1994. As perhaps the first conference proceedings devoted exclusively to the subject known as "Moonshine", this work contains something for many mathematicians and physicists. Many of the results featured are not available elsewhere.
Profiles
DOWNLOAD
Author : R. S. Bhathal
language : en
Publisher: National Library Australia
Release Date : 1999
Profiles written by R. S. Bhathal and has been published by National Library Australia this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Biography & Autobiography categories.
Here are sixteen tales of scientific discovery. In their own words, Australian women scientists tell the stories of their lives, their work and the secrets of their success. Until now, their world-famous achievements have not been widely known in their own country. In this remarkable book all talk candidly about their careers, describing not just the obstacles that many encountered--personal, social and institutionalised discrimination--but also their inspirations and influences.