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Journal Article

Division in group rings of surface groups

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Avramidi,  Grigori
Max Planck Institute for Mathematics, Max Planck Society;

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Citation

Avramidi, G. (2022). Division in group rings of surface groups. Journal of the London Mathematical Society, 106(2), 982-1007. doi:10.1112/jlms.12590.


Cite as: https://hdl.handle.net/21.11116/0000-000A-7722-A
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 $\mathbb H^n$.