Maximal subgroups of SL(n, Z)
Group Theory
2016-04-19 v2
Abstract
We establish the existence of maximal subgroups of various diferent natures in SL(n,Z). In particular, we prove that there are continuously many maximal subgroups, we provide a maximal subgroup whose action on the projective space has no dense orbits, and we produce a faithful primitive permutation representation of PSL(n,Z) which is not 2-transitive.
Keywords
Cite
@article{arxiv.1511.05767,
title = {Maximal subgroups of SL(n, Z)},
author = {Tsachik Gelander and Chen Meiri},
journal= {arXiv preprint arXiv:1511.05767},
year = {2016}
}
Comments
18 pages, 0 figures