PreprintCC BY 4.0arXiv
A note on the non-abelian tensor squares of linear groups
Abstract
We show that there exists a finitely generated linear group whose non-abelian tensor square is not linear. On the other hand, the non-abelian tensor square of the braid group Bn, n>3, is linear.
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BibTeX
@misc{moravec2026note,
title = {{A note on the non-abelian tensor squares of linear groups}},
author = {Primoz Moravec},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.00343},
eprint = {2610.00343},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.00343},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - A note on the non-abelian tensor squares of linear groups
AU - Primoz Moravec
PY - 2026
DA - 2026/10/01
PB - arXiv
DO - 10.48550/arxiv.2610.00343
UR - https://arxiv.org/abs/2610.00343
AB - We show that there exists a finitely generated linear group whose non-abelian tensor square is not linear. On the other hand, the non-abelian tensor square of the braid group B_n, n>3, is linear.
ER -