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arXiv · 1308.3092

Finite group actions on Kan complexes

Goutam Mukherjee·Swagata Sarkar·Debasis Sen
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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 $p-$group action on an one vertex aspherical Kan complex.

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Goutam Mukherjee, Swagata Sarkar, Debasis Sen. 2013-08-14. Finite group actions on Kan complexes. https://arxiv.org/abs/1308.3092

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