Mohammad Reza RISMANCHIAN, Mehdi ARASKHAN

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

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.

Anahtar Kelimeler:

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

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

Keywords:

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

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