Intense Automorphisms of Finite Groups Elisabeth C. O'Bryon Grow your mentoring skills and

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Intense Automorphisms of Finite Groups Elisabeth C. O'Bryon Grow your mentoring skills 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