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ON ALGEBRAIC INVARIANTS FOR FREE ACTIONS ON HOMOTOPY SPHERES

Part of: Connections with homological algebra and category theory

Published online by Cambridge University Press:  04 September 2015

JANG HYUN JO
JANG HYUN JO*
Affiliation:
Department of Mathematics, Sogang University, Seoul 121-742, Korea email [email protected]
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Abstract

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We investigate conjectures and questions regarding topological phenomena related to free actions on homotopy spheres and present some affirmative answers.

Keywords

elementary amenable groupGorenstein cohomological dimensionHF groupsperiodic cohomologyprojective complete cohomological dimension

MSC classification

Primary: 57S25: Groups acting on specific manifolds
Secondary: 20J05: Homological methods in group theory
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 92 , Issue 3 , December 2015 , pp. 478 - 487
Copyright
© 2015 Australian Mathematical Publishing Association Inc. 

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