Name: The Spread of Almost Simple Classical Groups (en Inglés)
SKU: 57056427
Price: 41.59 USD
Availability: InStock
Author: Harper, Scott
ISBN: 9783030740993

portada The Spread of Almost Simple Classical Groups (en Inglés)

The Spread of Almost Simple Classical Groups (en Inglés)

Formato

Libro Físico

Autor

Scott Harper

Editorial

Springer

Idioma

Inglés

N° páginas

154

Encuadernación

Tapa Blanda

Dimensiones

23.4x15.6x0.9 cm

Peso

0.24 kg.

ISBN13

9783030740993

N° edición

Categorías

Álgebra

The Spread of Almost Simple Classical Groups (en Inglés)

Scott Harper (Autor) · Springer · Tapa Blanda

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Reseña del libro "The Spread of Almost Simple Classical Groups (en Inglés)"

This monograph studies generating sets of almost simple classical groups, by bounding the spread of these groups. Guralnick and Kantor resolved a 1962 question of Steinberg by proving that in a finite simple group, every nontrivial element belongs to a generating pair. Groups with this property are said to be 3/2-generated. Breuer, Guralnick and Kantor conjectured that a finite group is 3/2-generated if and only if every proper quotient is cyclic. We prove a strong version of this conjecture for almost simple classical groups, by bounding the spread of these groups. This involves analysing the automorphisms, fixed point ratios and subgroup structure of almost simple classical groups, so the first half of this monograph is dedicated to these general topics. In particular, we give a general exposition of Shintani descent. This monograph will interest researchers in group generation, but theopening chapters also serve as a general introduction to the almost simple classical groups.