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  Division in group rings of surface groups

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.

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Item Permalink: https://hdl.handle.net/21.11116/0000-000A-7722-A Version Permalink: https://hdl.handle.net/21.11116/0000-000E-198E-7
Genre: Journal Article

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© 2022 The Authors. Journal of the London Mathematical Society is copyright © London Mathematical Society. This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.
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 Creators:
Avramidi, Grigori1, Author           
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Geometric Topology, Group Theory, Rings and Algebras
 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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Language(s): eng - English
 Dates: 2022
 Publication Status: Issued
 Pages: 26
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 2101.00682
DOI: 10.1112/jlms.12590
 Degree: -

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Title: Journal of the London Mathematical Society
Source Genre: Journal
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Publ. Info: Wiley
Pages: - Volume / Issue: 106 (2) Sequence Number: - Start / End Page: 982 - 1007 Identifier: -