Fixed Point Sets in Diagrammatically Reducible Complexes
Abstract
Let $H$ be a group acting on a simplyconnected diagrammatically reducible combinatorial 2complex $X$ with fine 1skeleton. If the fixed point set $X^ H$ is nonempty, then it is contractible. Having fine 1skeleton is a weaker version of being locally finite.
 Publication:

arXiv eprints
 Pub Date:
 July 2021
 arXiv:
 arXiv:2107.01254
 Bibcode:
 2021arXiv210701254A
 Keywords:

 Mathematics  Group Theory;
 Mathematics  Geometric Topology;
 57M07;
 20F06;
 20F65;
 20F67
 EPrint:
 Version 2. Some minor typos were corrected