ON MARGINAL AUTOMORPHISM OF INFINITE GROUPS

Abstract

Let W be a non-empty subset of a free group and G be any group.  An automorphism α of G is called marginal automorphism if g^-1α(g) ∈ W^*(G) for any g ∈ G where W^*(G) is marginal subgroup of G.  In this paper we study some properties of marginal automorphism of infinite group G.