Maximal subgroups of SL(n, Z)

Tsachik Gelander; Chen Meiri

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arXiv · 1511.05767

Maximal subgroups of SL(n, Z)

Tsachik Gelander·Chen Meiri

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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.

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Tsachik Gelander, Chen Meiri. 2016-04-17. Maximal subgroups of SL(n, Z). https://arxiv.org/abs/1511.05767

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