PreprintCC BY 4.0arXiv
A conditional construction of a nonhyperlinear group and the centralizer problem
Abstract
We show that a positive answer to the centralizer problem for tracial matrix ultraproducts implies the existence of a finitely generated nonhyperlinear group.
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BibTeX
@misc{thom2026conditional,
title = {{A conditional construction of a nonhyperlinear group and the centralizer problem}},
author = {Andreas Thom},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.27795},
eprint = {2609.27795},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.27795},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - A conditional construction of a nonhyperlinear group and the centralizer problem
AU - Andreas Thom
PY - 2026
DA - 2026/09/14
PB - arXiv
DO - 10.48550/arxiv.2609.27795
UR - https://arxiv.org/abs/2609.27795
AB - We show that a positive answer to the centralizer problem for tracial matrix ultraproducts implies the existence of a finitely generated nonhyperlinear group.
ER -