Finite group actions on Kan complexes

Mukherjee, Goutam, Swagata Sarkar, Debasis Sen · arXiv (Cornell University) · 2013

We study simplicial action of groups on one vertex Kan complexes. We show that every semi-direct product of the fundamental group of an one vertex Kan complex with a finite group can be simplicially realized. We also calculate the cohomology of the fixed point set of a finite $p-$group action on an one vertex aspherical Kan complex.

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