Turkish Journal of Mathematics
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 V_G-marginal factor groups. Also, we conclude a generalized version of the Stallings' theorem.
DOI
10.3906/mat-1010-86
Keywords
Baer-invariant, pair of groups, Schur-Baer variety, V_G-nilpotent
First Page
259
Last Page
266
Recommended Citation
RISMANCHIAN, M. R, & ARASKHAN, M (2013). Some properties on the Baer-invariant of a pair of groups and V_G-marginal series. Turkish Journal of Mathematics 37 (2): 259-266. https://doi.org/10.3906/mat-1010-86
