Author: Robert Curtis
Publisher: Cambridge University Press
ISBN: 0521575877
Category : Mathematics
Languages : en
Pages : 315

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Book Description
Proceedings containing twenty articles by leading experts in group theory and its applications.

Author: R. T. Curtis
Publisher:
ISBN: 9781107367364
Category : Electronic books
Languages : en
Pages : 312

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Book Description
Proceedings containing twenty articles by leading experts in group theory and its applications.

Author: Manjul Bhargava
Publisher:
ISBN: 9781470441685
Category : Atlas of finite groups
Languages : en
Pages : 242

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Book Description
A mathematics conference partially based on Atlas of finite groups, by John H. Conway, et al. (Oxford University Press, 1985).

Author: Abraham Adrian Albert
Publisher: American Mathematical Soc.
ISBN: 082181401X
Category : Finite groups
Languages : en
Pages : 120

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Book Description

Author: Bertram A. F. Wehrfritz
Publisher: World Scientific
ISBN: 9789810238742
Category : Mathematics
Languages : en
Pages : 138

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Book Description
The theory of groups, especially of finite groups, is one of the most delightful areas of mathematics. Its proofs often have elegance and crystalline beauty. This textbook is intended for the reader who has been exposed to about three years of serious mathematics. The notion of a group appears widely in mathematics and even further afield in physics and chemistry, and the fundamental idea should be known to all mathematicians. In this textbook a purely algebraic approach is taken and the choice of material is based upon the notion of conjugacy. The aim is not only to cover basic material, but also to present group theory as a living, vibrant and growing discipline, by including references and discussion of some work up to the present day.

Author: John Horton Conway
Publisher: Oxford University Press
ISBN: 9780198531999
Category : Mathematics
Languages : en
Pages : 252

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Book Description
This atlas covers groups from the families of the classification of finite simple groups. Recently updated incorporating corrections

Author: Gerhard O. Michler
Publisher: Cambridge University Press
ISBN: 9780521866255
Category : Mathematics
Languages : en
Pages : 0

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Book Description
This book provides the first representation theoretic and algorithmic approach to the theory of abstract finite simple groups. It presents self-contained proofs of classical and new group order formulas, and a new structure theorem for abstract finite simple groups. This, and the famous Brauer-Fowler theorem, provides the theoretical background for the author's algorithm which constructs all finite simple groups G having a 2-central involution z with a given centralizer CG(z)=H. The methods presented are designed for the construction of matrix representations, permutation representations and character tables of large finite groups. The author constructs all the simple satellites of the known simple groups that are not uniquely determined by a given centralizer H. Uniform existence and uniqueness proofs are given for the modern sporadic simple groups discovered by Janko, Higman and Sims, Harada, and Thompson. This latter result proves a long standing open problem in the theory. The experimental results (courtesy of M. Weller) for Chapter 12 are documented in the accompanying DVD.

Author: Daniel Gorenstein
Publisher:
ISBN:
Category : Group theory
Languages : en
Pages : 527

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Book Description

Author: Daniel Gorenstein
Publisher: Springer
ISBN:
Category : Mathematics
Languages : en
Pages : 352

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Book Description
In February 1981, the classification of the finite simple groups (Dl)* was completed,t. * representing one of the most remarkable achievements in the history or mathematics. Involving the combined efforts of several hundred mathematicians from around the world over a period of 30 years, the full proof covered something between 5,000 and 10,000 journal pages, spread over 300 to 500 individual papers. The single result that, more than any other, opened up the field and foreshadowed the vastness of the full classification proof was the celebrated theorem of Walter Feit and John Thompson in 1962, which stated that every finite group of odd order (D2) is solvable (D3)-a statement expressi ble in a single line, yet its proof required a full 255-page issue of the Pacific 10urnal of Mathematics [93]. Soon thereafter, in 1965, came the first new sporadic simple group in over 100 years, the Zvonimir Janko group 1 , to further stimulate the 1 'To make the book as self-contained as possible. we are including definitions of various terms as they occur in the text. However. in order not to disrupt the continuity of the discussion. we have placed them at the end of the Introduction. We denote these definitions by (DI). (D2), (D3). etc.

Author: A. A. Albert
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Book Description