National Science Library of Georgia

Image from Google Jackets

Classical groups, derangements, and primes / Timothy C. Burness, University of Bristol, Michael Giudici, University of Western Australia, Perth.

By: Contributor(s): Material type: TextTextSeries: Australian Mathematical Society lecture series ; 25.Publisher: Cambridge : Cambridge University Press, 2016Description: 1 online resource (xviii, 346 pages) : digital, PDF file(s)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781139059060 (ebook)
Other title:
  • Classical Groups, Derangements & Primes
Subject(s): Additional physical formats: Print version: : No titleDDC classification:
  • 512.7 23
LOC classification:
  • QA9 .B856 2016
Online resources: 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.
Tags from this library: No tags from this library for this title. Log in to add tags.
No physical items for this record

Title from publisher's bibliographic system (viewed on 01 Jan 2016).

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.

There are no comments on this title.

to post a comment.
Copyright © 2023 Sciencelib.ge All rights reserved.