%0 Journal Article %T Finite group actions on Kan complexes %A Goutam Mukherjee %A Swagata Sarkar %A Debasis Sen %J Mathematics %D 2013 %I arXiv %X 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. %U http://arxiv.org/abs/1308.3092v1