Some properties of marginal automorphisms of groups

Moghaddam, M. R. R.; Safa, H.

Some properties of marginal automorphisms of groups

Document Type : Research Paper

Authors

M. R. R. Moghaddam ¹

H. Safa ²

¹ Khayyam Higher Education Institute, Mashhad , Iran

² Department of Pure Mathematics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, P.O. Box 1159, Mashhad, Iran

Abstract

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

Keywords

Primary

20D45, 20F28. Secondary

20E05, 20E36

Subjects