PreprintCC BY 4.0arXiv
An example of a non-sofic hyperbolic group
Abstract
We construct a torsion-free, two-dimensional, word-hyperbolic group which is not sofic. Our construction builds on OpenAI's construction of a non-residually finite hyperbolic group, see OpenAI 252.
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BibTeX
@misc{sandhu2026example,
title = {{An example of a non-sofic hyperbolic group}},
author = {Harjas Sandhu and Andreas Thom},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.24836},
eprint = {2610.24836},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.24836},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - An example of a non-sofic hyperbolic group
AU - Harjas Sandhu
AU - Andreas Thom
PY - 2026
DA - 2026/10/17
PB - arXiv
DO - 10.48550/arxiv.2610.24836
UR - https://arxiv.org/abs/2610.24836
AB - We construct a torsion-free, two-dimensional, word-hyperbolic group which is not sofic. Our construction builds on OpenAI's construction of a non-residually finite hyperbolic group, see OpenAI 252.
ER -