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arXiv · 2101.00682

Division in group rings of surface groups

Grigori Avramidi
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Abstract

We prove a division algorithm for group rings of high genus surface groups and use it to show that some $2$-complexes with surface fundamental groups are standard. We also give an application of division to cohomological dimension of $2$-relator groups acting on $\mathbb H^n$.

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Grigori Avramidi. 2021-01-03. Division in group rings of surface groups. https://arxiv.org/abs/2101.00682

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