Rank of mapping tori and companion matrices
Group Theory
2019-06-07 v1
Abstract
Given in , it is decidable whether its mapping torus (the semi-direct product of with ) may be generated by two elements or not; if so, one can classify generating pairs up to Nielsen equivalence. If has infinite order, the mapping torus of cannot be generated by two elements for large enough; equivalently, is not conjugate to a companion matrix in if is large.
Cite
@article{arxiv.1004.2649,
title = {Rank of mapping tori and companion matrices},
author = {Gilbert Levitt and Vassilis Metaftsis},
journal= {arXiv preprint arXiv:1004.2649},
year = {2019}
}