Title	Any finite group acts freely and homologically trivially on a product of spheres
Creator	Davis, James
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-05-01T10:10
Description	Suppose K is a finite CW complex with finite fundamental group G whose universal cover is homotopy equivalent to a product of spheres X. Suppose the G-action on the cover is trivial on homology. I will prove the following theorem using classical techniques from geometric topology. Theorem: G acts freely, smoothly, and homologically trivially on X x S^n whenever n is greater than or equal to the dimension of X. Unlu and Yalcin have constructed such a K for any finite fundamental group. Thus the title of the talk is a corollary.
Extent	57 minutes
Subject	Mathematics; General topology; Algebraic topology
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Indiana University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2016-10-31
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0320828
URI	http://hdl.handle.net/2429/59591
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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