Classical Groups, Derangements and Primes

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Opis: Classical Groups, Derangements and Primes - Michael Giudici, Timothy Burness

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.Preface; Notational conventions; 1. Introduction; 2. Finite classical groups; 3. Conjugacy classes; 4. Subspace actions; 5. Non-subspace actions; 6. Low-dimensional classical groups; Appendix A. Number-theoretic miscellanea; Appendix B. Tables; References; Index.


Szczegóły: Classical Groups, Derangements and Primes - Michael Giudici, Timothy Burness

Tytuł: Classical Groups, Derangements and Primes
Autor: Michael Giudici, Timothy Burness
Producent: Cambridge University Press
ISBN: 9781107629448
Rok produkcji: 2015
Ilość stron: 366
Oprawa: Miękka
Waga: 0.54 kg


Recenzje: Classical Groups, Derangements and Primes - Michael Giudici, Timothy Burness

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Classical Groups, Derangements and Primes

,

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.Preface; Notational conventions; 1. Introduction; 2. Finite classical groups; 3. Conjugacy classes; 4. Subspace actions; 5. Non-subspace actions; 6. Low-dimensional classical groups; Appendix A. Number-theoretic miscellanea; Appendix B. Tables; References; Index.

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Cena 305,00 PLN
Nasza cena 285,17 PLN
Oszczędzasz 6%
Wysyłka: Niedostępna
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Szczegóły: Classical Groups, Derangements and Primes - Michael Giudici, Timothy Burness

Tytuł: Classical Groups, Derangements and Primes
Autor: Michael Giudici, Timothy Burness
Producent: Cambridge University Press
ISBN: 9781107629448
Rok produkcji: 2015
Ilość stron: 366
Oprawa: Miękka
Waga: 0.54 kg


Recenzje: Classical Groups, Derangements and Primes - Michael Giudici, Timothy Burness

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