Cohomology rings of almost-direct products of free groups

Details Cohomology rings of almost-direct products of free groups Cohomology rings of almost-direct products of free groups

2008-11-09

arxiv.org/abs/0811.1330v1

Compositio Math. 146 (2010), 465-479

Mathematics

Algebraic Topology

16 pages

Scientific paper

10.1112/S0010437X09004424

An almost-direct product of free groups is an iterated semidirect product of
finitely generated free groups in which the action of the constituent free
groups on the homology of one another is trivial. We determine the structure of
the cohomology ring of such a group. This is used to analyze the topological
complexity of the associated Eilenberg-Mac Lane space.

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