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Classical Groups, Derangements, and Primes

Classical Groups, Derangements, and Primes - Australian Mathematical Society Lecture Series

Paperback (28 Jan 2016)

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Publisher's Synopsis

A classical theorem of Jordan states that every finite transitive permutation group contains a derangement. This existence result has interesting and unexpected applications in many areas of mathematics, including graph theory, number theory and topology. Various generalisations have been studied in more recent years, with a particular focus on the existence of derangements with special properties. Written for academic researchers and postgraduate students working in related areas of algebra, this introduction to the finite classical groups features a comprehensive account of the conjugacy and geometry of elements of prime order. The development is tailored towards the study of derangements in finite primitive classical groups; the basic problem is to determine when such a group G contains a derangement of prime order r, for each prime divisor r of the degree of G. This involves a detailed analysis of the conjugacy classes and subgroup structure of the finite classical groups.

About the Publisher

Cambridge University Press

Cambridge University Press dates from 1534 and is part of the University of Cambridge. We further the University's mission by disseminating knowledge in the pursuit of education, learning and research at the highest international levels of excellence.

Book information

ISBN: 9781107629448
Publisher: Cambridge University Press
Imprint: Cambridge University Press
Pub date:
DEWEY: 512.7
DEWEY edition: 23
Language: English
Number of pages: 366
Weight: 556g
Height: 154mm
Width: 228mm
Spine width: 27mm