Journals / Turkish Journal of Mathematics / 2013 / Cilt: 37 - Sayı: 2
Some properties on the Baer-invariant of a pair of groups and VG-marginal series
- Pages
- 259–266
- DOI
- —
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.
Özet
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.