Groups with twisted p-periodic cohomology
Guido Mislin, Olympia Talelli
TL;DR
This paper characterizes groups with twisted p-periodic cohomology through their actions on mod p homology spheres and provides an algebraic equivalent description.
Contribution
It introduces a new characterization of groups with twisted p-periodic cohomology via geometric and algebraic methods.
Findings
Groups with twisted p-periodic cohomology act on mod p homology spheres.
An algebraic characterization of these groups is established.
The results connect geometric actions with algebraic properties of groups.
Abstract
We give a characterization of groups with twisted p-periodic cohomology in terms of group actions on mod p homology spheres. An equivalent algebraic characterization of such groups is also presented.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Geometric and Algebraic Topology · Algebraic structures and combinatorial models