Group rings and hyperbolic geometry
Geometric Topology
2023-10-02 v1 Group Theory
Rings and Algebras
Abstract
For a group acting on a hyperbolic space, we set up an algorithm in the group algebra showing that ideals generated by few elements are free, where few is a function of the minimal displacement of the action, and derive algebraic, geometric, and topological consequences.
Keywords
Cite
@article{arxiv.2309.16791,
title = {Group rings and hyperbolic geometry},
author = {Grigori Avramidi and Thomas Delzant},
journal= {arXiv preprint arXiv:2309.16791},
year = {2023}
}
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29 pages