# Fixed Point Sets in Diagrammatically Reducible Complexes

@inproceedings{Arora2021FixedPS, title={Fixed Point Sets in Diagrammatically Reducible Complexes}, author={Shivam Arora and Eduardo Mart'inez-Pedroza}, year={2021} }

Let H be a group acting on a simply-connected diagrammatically reducible combinatorial 2-complex X with fine 1skeleton. If the fixed point set X is non-empty, then it is contractible. Having fine 1-skeleton is a weaker version of being locally finite. 1. Diagrammatically reducible complexes The term diagrammatically reducible complex was introduced by Gersten [Ger87], but the notion appeared in earlier works of Chiswell, Collins and Huebschmann [CCH81] and Sieradski [Sie83]. This class of… Expand

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Bowditch Taut Spectrum and dimensions of groups

- Mathematics
- 2021

For a finitely generated group G, let H(G) denote Bowditch’s taut loop length spectrum. We prove that if G = (A ∗ B)/〈〈R〉〉 is a C′(1/12) small cancellation quotient of a the free product of finitely… Expand

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