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 : 14 | Download : 8

Publication Date : 9999-12-31

Article Type : Makaleler

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