Fixed Point Sets in Diagrammatically Reducible Complexes

Abstract

Let $H$ be a group acting on a simply-connected diagrammatically reducible combinatorial 2-complex $X$ with fine 1-skeleton. If the fixed point set $X^H$ is non-empty, then it is contractible. Having fine 1-skeleton is a weaker version of being locally finite.

The statement of Proposition 2.3 is false, as a consequence the argument proving the main result is not correct