PreprintCC BY 4.0arXiv
Finite index rigidity of free-by-cyclic groups
Abstract
We show that a free-by-cyclic group with infinite order monodromy is finite index rigid, that is, any two isomorphic finite index subgroups have the same index.
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BibTeX
@misc{gupta2026finite,
title = {{Finite index rigidity of free-by-cyclic groups}},
author = {Radhika Gupta and Nir Lazarovich},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.11383},
eprint = {2610.11383},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.11383},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Finite index rigidity of free-by-cyclic groups
AU - Radhika Gupta
AU - Nir Lazarovich
PY - 2026
DA - 2026/10/08
PB - arXiv
DO - 10.48550/arxiv.2610.11383
UR - https://arxiv.org/abs/2610.11383
AB - We show that a free-by-cyclic group with infinite order monodromy is finite index rigid, that is, any two isomorphic finite index subgroups have the same index.
ER -