Name: Classical Groups, Derangements and Primes (Australian Mathematical Society Lecture Series) (en Inglés)
SKU: 51585110
Price: 108870.00 CLP
Availability: InStock
Author: Timothy C. Burness
ISBN: 9781107629448

portada Classical Groups, Derangements and Primes (Australian Mathematical Society Lecture Series) (en Inglés)

Classical Groups, Derangements and Primes (Australian Mathematical Society Lecture Series) (en Inglés)

Formato

Libro Físico

Editorial

Cambridge University Press

Autor

Timothy C. Burness

Año

2016

Idioma

Inglés

N° páginas

366

Encuadernación

Tapa Blanda

ISBN13

9781107629448

N° edición

Categorías

Álgebra

Classical Groups, Derangements and Primes (Australian Mathematical Society Lecture Series) (en Inglés)

Timothy C. Burness (Autor) · Cambridge University Press · Tapa Blanda

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Reseña del libro "Classical Groups, Derangements and Primes (Australian Mathematical Society Lecture Series) (en Inglés)"

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.