Classical Groups, Derangements and Primes

Nonfiction, Science & Nature, Mathematics, Topology, Algebra
Cover of the book Classical Groups, Derangements and Primes by Timothy C. Burness, Michael Giudici, Cambridge University Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Timothy C. Burness, Michael Giudici ISBN: 9781316430545
Publisher: Cambridge University Press Publication: January 15, 2016
Imprint: Cambridge University Press Language: English
Author: Timothy C. Burness, Michael Giudici
ISBN: 9781316430545
Publisher: Cambridge University Press
Publication: January 15, 2016
Imprint: Cambridge University Press
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Cambridge University Press

Cover of the book Central Banking as Global Governance by Timothy C. Burness, Michael Giudici
Cover of the book Theory of International Trade by Timothy C. Burness, Michael Giudici
Cover of the book Assessing the World Trade Organization by Timothy C. Burness, Michael Giudici
Cover of the book The Recovery of Non-Pecuniary Loss in European Contract Law by Timothy C. Burness, Michael Giudici
Cover of the book History and Systems of Psychology by Timothy C. Burness, Michael Giudici
Cover of the book Geometry of Quantum States by Timothy C. Burness, Michael Giudici
Cover of the book An Introduction to Atmospheric Physics by Timothy C. Burness, Michael Giudici
Cover of the book Modernism and the Materiality of Texts by Timothy C. Burness, Michael Giudici
Cover of the book Atmospheric Frontal Dynamics by Timothy C. Burness, Michael Giudici
Cover of the book The Continental Drift Controversy: Volume 4, Evolution into Plate Tectonics by Timothy C. Burness, Michael Giudici
Cover of the book The Challenge of Safeguards in the WTO by Timothy C. Burness, Michael Giudici
Cover of the book The Art of Economic Catch-Up by Timothy C. Burness, Michael Giudici
Cover of the book Introduction to Atmospheric Modelling by Timothy C. Burness, Michael Giudici
Cover of the book Developing Countries in the GATT Legal System by Timothy C. Burness, Michael Giudici
Cover of the book Ancient Kanesh by Timothy C. Burness, Michael Giudici
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy