On Baer Invariants of Triples of Groups

Details On Baer Invariants of Triples of Groups On Baer Invariants of Triples of Groups

2011-10-23

arxiv.org/abs/1110.5020v1

Mathematics

Algebraic Topology

9 pages

Scientific paper

In this paper, we develop the theory of Baer invariants for triples of groups. First, we focus on the general properties of the Baer invariant of triples. Second, we prove that the Baer invariant of a triple preserves direct limits of directed systems of triples of groups. Moreover, we present a structure for the nilpotent multiplier of a triple of the free product in some cases. Finally, we give some conditions in which the Baer invariant of a triple is a torsion group.

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