2000 character limit reached
On Baer Invariants of Triples of Groups (1110.5020v1)
Published 23 Oct 2011 in math.AT and math.GR
Abstract: 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.