Theory of Finite Simple Groups 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Gerhard O. Michler 作者

Cambridge University Press

译者

2006-9-21 出版日期

614 页数

GBP 175.82 价格

Hardcover

丛书系列

9780521866255 图书编码

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发表于2024-11-23

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Theory of Finite Simple Groups 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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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.

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