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

Authors

MOHAMMAD REZA RISMANCHIAN
MEHDI ARASKHAN

DOI

10.3906/mat-1010-86

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.

Keywords

Baer-invariant, pair of groups, Schur-Baer variety, V_G-nilpotent

First Page

259

Last Page

266

Recommended Citation

RISMANCHIAN, MOHAMMAD REZA and ARASKHAN, MEHDI (2013) "Some properties on the Baer-invariant of a pair of groups and V_G-marginal series," Turkish Journal of Mathematics: Vol. 37: No. 2, Article 7. https://doi.org/10.3906/mat-1010-86
Available at: https://journals.tubitak.gov.tr/math/vol37/iss2/7