Some properties on the Baer-invariant of a pair of groups and VG-marginal series

Authors : Mohammad Reza RISMANCHIAN, Mehdi ARASKHAN

Pages : 259-266

Doi:10.3906/mat-1010-86

View : 10 | Download : 7

Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :The aim of this paper is to present some properties of the Baer-invariant of a pair of groups with respect to a given variety of groups V. We derive some equalities and inequalities of the Baer-invariant of a pair of finite groups, as long as V is considered to be a Schur-Baer variety. Moreover, we present a relative version of the concept of lower marginal series and give some isomorphisms among VG-marginal factor groups. Also, we conclude a generalized version of the Stallings` theorem.
Keywords : Baer invariant, pair of groups, Schur Baer variety, VG nilpotent