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The Mathieu Groups

The Mathieu Groups
Author: A. A. Ivanov
Publisher: Cambridge University Press
Total Pages: 216
Release: 2018-06-21
Genre: Mathematics
ISBN: 1108637523

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The Mathieu groups have many fascinating and unusual characteristics and have been studied at length since their discovery. This book provides a unique, geometric perspective on these groups. The amalgam method is explained and used to construct M24, enabling readers to learn the method through its application to a familiar example. The same method is then used to construct, among others, the octad graph, the Witt design and the Golay code. This book also provides a systematic account of 'small groups', and serves as a useful reference for the Mathieu groups. The material is presented in such a way that it guides the reader smoothly and intuitively through the process, leading to a deeper understanding of the topic.


Theory of Finite Simple Groups

Theory of Finite Simple Groups
Author: Gerhard Michler
Publisher: Cambridge University Press
Total Pages: 638
Release: 2006-09-21
Genre: Mathematics
ISBN: 0521866251

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The first representation theoretic and algorithmic approach to the theory of abstract finite simple groups.


Sphere Packings, Lattices and Groups

Sphere Packings, Lattices and Groups
Author: John Conway
Publisher: Springer Science & Business Media
Total Pages: 778
Release: 2013-06-29
Genre: Mathematics
ISBN: 1475765681

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The third edition of this definitive and popular book continues to pursue the question: what is the most efficient way to pack a large number of equal spheres in n-dimensional Euclidean space? The authors also examine such related issues as the kissing number problem, the covering problem, the quantizing problem, and the classification of lattices and quadratic forms. There is also a description of the applications of these questions to other areas of mathematics and science such as number theory, coding theory, group theory, analogue-to-digital conversion and data compression, n-dimensional crystallography, dual theory and superstring theory in physics. New and of special interest is a report on some recent developments in the field, and an updated and enlarged supplementary bibliography with over 800 items.


Symmetric Generation of Groups

Symmetric Generation of Groups
Author: Robert Curtis
Publisher: Cambridge University Press
Total Pages: 333
Release: 2007-07-05
Genre: Mathematics
ISBN: 052185721X

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Comprehensive text which develops the notion of symmetric generation and applies the technique to sporadic simple groups.


A Course in Group Theory

A Course in Group Theory
Author: J. F. Humphreys
Publisher: Oxford University Press, USA
Total Pages: 296
Release: 1996
Genre: Language Arts & Disciplines
ISBN: 9780198534594

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Each chapter ends with a summary of the material covered and notes on the history and development of group theory.


Mathieu Groups

Mathieu Groups
Author: Philip J. Greenberg
Publisher:
Total Pages: 200
Release: 1973
Genre: Group theory
ISBN:

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Some Tapas of Computer Algebra

Some Tapas of Computer Algebra
Author: Arjeh M. Cohen
Publisher: Springer Science & Business Media
Total Pages: 374
Release: 1998-12-15
Genre: Computers
ISBN: 9783540634805

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This book presents the basic concepts and algorithms of computer algebra using practical examples that illustrate their actual use in symbolic computation. A wide range of topics are presented, including: Groebner bases, real algebraic geometry, lie algebras, factorization of polynomials, integer programming, permutation groups, differential equations, coding theory, automatic theorem proving, and polyhedral geometry. This book is a must read for anyone working in the area of computer algebra, symbolic computation, and computer science.


Library of Congress Subject Headings

Library of Congress Subject Headings
Author: Library of Congress
Publisher:
Total Pages: 1544
Release: 2011
Genre: Subject headings, Library of Congress
ISBN:

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Classifying Spaces of Sporadic Groups

Classifying Spaces of Sporadic Groups
Author: David J. Benson
Publisher: American Mathematical Soc.
Total Pages: 310
Release: 2008
Genre: Mathematics
ISBN: 0821844741

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For each of the 26 sporadic finite simple groups, the authors construct a 2-completed classifying space using a homotopy decomposition in terms of classifying spaces of suitable 2-local subgroups. This construction leads to an additive decomposition of the mod 2 group cohomology.