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Książka Classical Groups, Derangements and Primes Timothy C. Burness

Classical Groups, Derangements and Primes

Autor: Timothy C. Burness, Michael Giudici
Język: Angielski
Oprawa: Miękka
Wydawca: Cambridge University Press
Dostępność: Dostępna u dostawcy
Wysyłamy za 14-21 dni
351.77 zł
A classical theorem of Jordan states that every finite transitive permutation group contains a deran...

Informacje o książce

Autor
Timothy C. Burness, Michael Giudici
Język
Angielski
Oprawa
Książka - Miękka
Data wydania
2016
strony
366
EAN
9781107629448
ISBN
1107629446
Enbook ID
09074664
Wydawca
Cambridge University Press
Waga
556
Wymiary
228 x 154 x 27

Pełny opis

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.

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