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Thompson's groups are sofic
Abstract
We prove that Thompson's groups F, T and V are sofic. As a corollary, all of them are also hyperlinear and not permutation stable. The proof relies on an explicit construction of sofic approximations to F and V. Moreover, the construction allows us to obtain effective quantitative bounds on the parameters of sofic approximations.
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BibTeX
@misc{chaudkhari2026thompsons,
title = {{Thompson's groups are sofic}},
author = {Maksym Chaudkhari and Kate Juschenko and Kyrylo Muliarchyk},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.25415},
eprint = {2610.25415},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.25415},
}
RIS
TY - UNPB
TI - Thompson's groups are sofic
AU - Maksym Chaudkhari
AU - Kate Juschenko
AU - Kyrylo Muliarchyk
PY - 2026
DA - 2026/10/18
PB - arXiv
DO - 10.48550/arxiv.2610.25415
UR - https://arxiv.org/abs/2610.25415
AB - We prove that Thompson's groups F, T and V are sofic. As a corollary, all of them are also hyperlinear and not permutation stable. The proof relies on an explicit construction of sofic approximations to F and V. Moreover, the construction allows us to obtain effective quantitative bounds on the parameters of sofic approximations.
ER -