Division in group rings of surface groups
Geometric Topology
2021-01-05 v1 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 -complexes with surface fundamental groups are standard. We also give an application of division to cohomological dimension of -relator groups acting on .
Cite
@article{arxiv.2101.00682,
title = {Division in group rings of surface groups},
author = {Grigori Avramidi},
journal= {arXiv preprint arXiv:2101.00682},
year = {2021}
}
Comments
20 pages, 9 figures, comments welcome