Title of article :
SOME PROPERTIES OF MARGINAL AUTOMORPHISMS OF GROUPS
Author/Authors :
MOGHADDAM, M.R.R Khayyam Higher Education Institute , SAFA, H Department of Pure Mathematics - Faculty of Mathematical Sciences - Ferdowsi University of Mashhad
Abstract :
ABSTRACT. Let W be a non-empty subset of a free group. The automorphism a of a group G is said to be a marginal automorphism (with respect to W), if for all z € G, z la(c) € W (G), where W*(G) is the marginal subgroup of G.
In this paper, we study the concept of marginal automorphisms of a given group and we obtain a necessary and sufficient condition for a purely non-abelian finite p-group G, such that the set of all marginal automorphisms of G forms an elementary abelian p-group.
Keywords :
verbal subgroup , purely non-abelian group , marginal subgroup , marginal automorphism , Elementary abelian p-group
Journal title :
Astroparticle Physics
