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

Mohammad Reza Rismanchian | Zendy; Mehdi Araskhan | Zendy

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

Author(s) -

Mohammad Reza Rismanchian,

Mehdi Araskhan

Publication year - 2013

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1010-86

Subject(s) - mathematics , invariant (physics) , pure mathematics , series (stratigraphy) , variety (cybernetics) , combinatorics , statistics , mathematical physics , paleontology , biology

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.

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