Groups with twisted p-periodic cohomology

2014/06/02 by Mislin, Guido, Talelli, Olympia
#20J06 #Algebraic Topology (math.AT) #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1406.0460

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.

Related

• Periodic Complexes and Group Actions
• Tracing cyclic homology pairings under twisting of graded algebras
• Periodicity of the pure mapping class group of non-orientable surfaces
• Even-periodic cohomology theories for twisted parametrized spectra
• Exponentially twisted cyclic homology