£60.38

Intense Automorphisms of Finite Groups (Memoirs of the American Mathematical Society)

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Description
Let G be a group. An automorphism of G is called intense if it sends each subgroup of G to a conjugate; the collection of such automorphisms is denoted by Int(G). In the special case in which p is a prime number and G is a finite p-group, one can show that Int(G) is the semidirect product of a normal p-Sylow and a cyclic subgroup of order dividing p?1. In this paper we classify the finite p-groups whose groups of intense automorphisms are not themselves p-groups. It emerges from our investigation that the structure of such groups is almost completely determined by their nilpotency class: for p > 3, they share a quotient, growing with their class, with a uniquely determined infinite 2-generated pro-p group.

Product Specifications
Format
paperback
ASIN
1470450038
Category
Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain
Amazon UK
Release Date
30 March 2022
Listed Since
24 September 2021

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