Algebraic Combinatorics and the Monster Group PDF Download
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Author: Alexander A. Ivanov
Publisher: Cambridge University Press
ISBN: 1009338056
Category : Mathematics
Languages : en
Pages : 584
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Book Description
Covering, arguably, one of the most attractive and mysterious mathematical objects, the Monster group, this text strives to provide an insightful introduction and the discusses the current state of the field. The Monster group is related to many areas of mathematics, as well as physics, from number theory to string theory. This book cuts through the complex nature of the field, highlighting some of the mysteries and intricate relationships involved. Containing many meaningful examples and a manual introduction to the computer package GAP, it provides the opportunity and resources for readers to start their own calculations. Some 20 experts here share their expertise spanning this exciting field, and the resulting volume is ideal for researchers and graduate students working in Combinatorial Algebra, Group theory and related areas.
Author: Alexander A. Ivanov
Publisher: Cambridge University Press
ISBN: 1009338056
Category : Mathematics
Languages : en
Pages : 584
Get Book
Book Description
Covering, arguably, one of the most attractive and mysterious mathematical objects, the Monster group, this text strives to provide an insightful introduction and the discusses the current state of the field. The Monster group is related to many areas of mathematics, as well as physics, from number theory to string theory. This book cuts through the complex nature of the field, highlighting some of the mysteries and intricate relationships involved. Containing many meaningful examples and a manual introduction to the computer package GAP, it provides the opportunity and resources for readers to start their own calculations. Some 20 experts here share their expertise spanning this exciting field, and the resulting volume is ideal for researchers and graduate students working in Combinatorial Algebra, Group theory and related areas.
Author: Alexander A. Ivanov
Publisher: Cambridge University Press
ISBN: 1009338048
Category : Mathematics
Languages : en
Pages : 583
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Book Description
The current state of knowledge on the Monster group, including Majorana theory, Vertex Operator Algebras, Moonshine and maximal subgroups.
Author: Martin W. Liebeck
Publisher: Cambridge University Press
ISBN: 0521406854
Category : Mathematics
Languages : en
Pages : 505
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Book Description
This volume contains a collection of papers on the subject of the classification of finite simple groups.
Author: K.T. Arasu
Publisher: Walter de Gruyter
ISBN: 311089310X
Category : Mathematics
Languages : en
Pages : 477
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Book Description
This series is devoted to the publication of monographs, lecture resp. seminar notes, and other materials arising from programs of the OSU Mathemaical Research Institute. This includes proceedings of conferences or workshops held at the Institute, and other mathematical writings.
Author: Chris Godsil
Publisher: CRC Press
ISBN: 9780412041310
Category : Mathematics
Languages : en
Pages : 382
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Book Description
This book presents an introduction to some of the interactions between algebra and combinatorics. It focuses on the characteristic and matchings polynomials of a graph and introduces the theory of polynomial spaces. The book is intended for beginning graduate students in mathematics.
Author: Aleksandr Anatolievich Ivanov
Publisher: Cambridge University Press
ISBN: 0521889944
Category : Mathematics
Languages : en
Pages : 267
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Book Description
A rigorous construction and uniqueness proof for the Monster group, detailing its relation to Majorana involutions.
Author: Adalbert Kerber
Publisher:
ISBN:
Category : Combinatorial analysis
Languages : en
Pages : 448
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Book Description
Author: A A Ivanov
Publisher: World Scientific
ISBN: 9814486426
Category : Mathematics
Languages : en
Pages : 348
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Book Description
Over the past 20 years, the theory of groups — in particular simple groups, finite and algebraic — has influenced a number of diverse areas of mathematics. Such areas include topics where groups have been traditionally applied, such as algebraic combinatorics, finite geometries, Galois theory and permutation groups, as well as several more recent developments. Among the latter are probabilistic and computational group theory, the theory of algebraic groups over number fields, and model theory, in each of which there has been a major recent impetus provided by simple group theory. In addition, there is still great interest in local analysis in finite groups, with substantial new input from methods of geometry and amalgams, and particular emphasis on the revision project for the classification of finite simple groups. This important book contains 20 survey articles covering many of the above developments. It should prove invaluable for those working in the theory of groups and its applications. Contents:Curtis–Phan–Tits Theory (C D Bennett et al.)Derangements in Simple and Primitive Groups (J Fulman & R Guralnick)Computing with Matrix Groups (W M Kantor & Á Seress)Bases of Primitive Permutation Groups (M W Liebeck & A Shalev)Modular Subgroup Arithmetic (T W Müller)Counting Nets in the Monster (S P Norton)Overgroups of Finite Quasiprimitive Permutation Groups (C E Praeger)Old Groups Can Learn New Tricks (L Pyber)Structure and Presentations of Lie-Type Groups (F G Timmesfeld)Computing in the Monster (R A Wilson)and other papers Readership: Graduate students, researchers and academics in algebra. Keywords:Simple Groups;Algebraic Combinatorics;Finite Geometry;Permutation Groups. Probabilistic Group
Author: Eiichi Bannai
Publisher: Addison-Wesley Longman
ISBN:
Category : Mathematics
Languages : en
Pages : 464
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Book Description
Author: Mark Ronan
Publisher: Oxford University Press
ISBN: 0192807234
Category : History
Languages : en
Pages : 264
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Book Description
In an exciting, fast-paced historical narrative ranging across two centuries, Ronan takes readers on an exhilarating tour of this final mathematical quest to understand symmetry.