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Giovanni Cutolo

On a question about automorphisms of finite p-groups

This paper deals with an old problem: are there non-trivial finite p-groups which are isomorphic to their full automorphism group, besides the dihedral group of order 8? The answer (in the negative) is obtained in some special cases, including groups of class 2, powerful groups, groups with centre of prime order or an abelian subgroup of prime index, class-3 groups with cyclic centre, groups with coclass at most 3 and others.

Journal of Group Theory, Walter de Gruyter

Print ISSN: 1433-5883
Volume: 9, 03/2006
Pages: 231 - 250

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