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On regular subgroups of SL_3(R)

  • Konstantinos Tsouvalas (MPI MiS, Leipzig)
E2 10 (Leon-Lichtenstein)

Abstract

A question of Misha Kapovich asks whether SL_3(Z) contains a subgroup isomorphic to the free product Z^2\ast Z. Motivated by this question, I am going to discuss a characterization of divergent Z^2 subgroups of SL_3(R). This characterization, combined with results of Oh, shows that a Zariski-dense discrete subgroup Γ of SL_3(R) contains a regular Z^2 if and only if Γ is commensurable to a conjugate of SL_3(Z). This is joint work with Sami Douba.

Antje Vandenberg

MPI for Mathematics in the Sciences Contact via Mail

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