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

In this paper, we use the theory of simplicial groups to develop the Schur multiplier of a pair of groups (G, N ) to the Baer invariant of it, VM (G, N ), with respect to an arbitrary variety V. Moreover, we present among other things some behaviors of Baer invariants of a pair of groups with respect to the free product and the direct limit.Finally we prove that the nilpotent multiplier of a pair of groups does commute with the free product of finite groups of mutually coprime orders.

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On Baer invariants of pairs of groups

Mashayekhy

Mirebrahimi

Vasagh

2016

Georgian Mathematical Journal

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

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On Baer invariants of pairs of groups

On Baer invariants of pairs of groups

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