On the existence of noninner automorphisms of order 2 in finite 2-groups

Authors

  • A. R. Jamali Tarbiat Moallem University
  • M. Viseh

Keywords:

finite p-groups, non-inner automorphism, powerful p-groups, cyclic commutator subgroup

Abstract

In this paper we prove that every non-abelian finite 2-group with a cyclic commutator subgroup has a non-inner automorphism of order 2 fixing either Frt(G) or Z(G) element- wise. This together with a result of Peter Schmid on regular p-groups extends our result to the class of non-abelian finite p-groups with a cyclic commutator subgroup. 10.1017/S0004972712000706

Author Biography

A. R. Jamali, Tarbiat Moallem University

Department of Mathematics/Professor

Published

2013-02-24

Issue

Vol. 87 No. 2 (2013)

Section

Articles
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