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Conjugacy in Finite Classical Groups (Springer Monographs in Mathematics)

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Description
This book provides a comprehensive coverage of the theory of conjugacy in finite classical groups. Given such a classical group G, the three fundamental problems considered are the following: to list a representative for each conjugacy class of G; to describe the centralizer of each representative, by giving its group structure and a generating set; and to solve the conjugacy problem in G—namely, given two elements of G, establish whether they are conjugate, and if so, find a conjugating element. The book presents comprehensive theoretical solutions to all three problems, and uses these solutions to formulate practical algorithms. In parallel to the theoretical work, implementations of these algorithms have been developed in Magma. These form a critical component of various general algorithms in computational group theory—for example, computing character tables and solving conjugacy problems in arbitrary finite groups.

Product Specifications
Format
hardcover
ASIN
3031864603
Category
Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain
Amazon UK
Release Date
06 May 2025
Listed Since
30 January 2025

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