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arXiv · 2107.01254

Fixed Point Sets in Diagrammatically Reducible Complexes

Shivam Arora·Eduardo Martínez-Pedroza
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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.

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Shivam Arora, Eduardo Martínez-Pedroza. 2021-07-02. Fixed Point Sets in Diagrammatically Reducible Complexes. https://arxiv.org/abs/2107.01254

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