Finite group actions on Kan complexes
Algebraic Topology
2013-08-15 v1
Abstract
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 group action on an one vertex aspherical Kan complex.
Cite
@article{arxiv.1308.3092,
title = {Finite group actions on Kan complexes},
author = {Goutam Mukherjee and Swagata Sarkar and Debasis Sen},
journal= {arXiv preprint arXiv:1308.3092},
year = {2013}
}