Some properties of marginal automorphisms of groups

Abstract

Abstract<br />Let W be a non-empty subset of a free group. The automorphism <br />of a group G is said to be a marginal automorphism, if for all x in G,<br />x^−1alpha (x) in W^* (G), where W ^*(G) is the marginal subgroup of G.<br />In this paper, we give necessary and sufficient condition for a purely<br />non-abelian p-group G, such that the set of all marginal automorphisms<br />of G forms an elementary abelian p-group.