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 |
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| container_title | Compositio mathematica |
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| creator | Cohen, Daniel C. |
| description | 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. |
| doi_str_mv | 10.1112/S0010437X09004424 |
| format | Article |
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| ispartof | Compositio mathematica, 2010-03, Vol.146 (2), p.465-479 |
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| language | eng |
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| source | Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals; Cambridge University Press Journals Complete |
| subjects | Algebra Topology |
| title | Cohomology rings of almost-direct products of free groups |
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