Intense Automorphisms of Finite Groups Elisabeth C. O'Bryon This book includes techniques and

This book includes techniques and ideas that can be adapted for any type of environment and at both the classroom and school level

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Intense Automorphisms of Finite Groups Elisabeth C. O'Bryon This book includes techniques andLet 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