Cohomology rings of almost-direct products of free groups

Cohomology rings of almost-direct products of free groups

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 top...

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Veröffentlicht in:Compositio mathematica 2010-03, Vol.146 (2), p.465-479
1. Verfasser: Cohen, Daniel C.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Topology
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Zusammenfassung: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–MacLane space.
ISSN:0010-437X
1570-5846
DOI:10.1112/S0010437X09004424