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Book Cover
E-book
Author Burness, Timothy C., 1979- author.

Title Classical groups, derangements and primes / Timothy C. Burness, University of Bristol, Michael Giudici, University of Western Australia, Perth
Published Cambridge : Cambridge University Press, 2016
©2016

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Description 1 online resource (xviii, 346 pages)
Series Australian Mathematical Society lecture series ; 25
Australian Mathematical Society lecture series ; 25.
Contents Introduction -- Finite classical groups -- Conjugacy classes -- Subspaces actions -- Non-subspace actions -- Low-dimensional classical groups
Summary 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
Bibliography Includes bibliographical references and index
Notes Print version record
Subject Logic, Symbolic and mathematical.
Group theory.
Algebra.
Numbers, Prime.
algebra.
MATHEMATICS -- Algebra -- Intermediate.
Teoría de grupos
Lógica matemática
Algebra
Group theory
Logic, Symbolic and mathematical
Numbers, Prime
Form Electronic book
Author Giudici, Michael, 1976- author.
ISBN 9781139059060
1139059068
9781316439777
1316439771
9781316438350
131643835X
9781316439067
1316439062