Anosov groups that are indiscrete in rank one

2022/10/31 by Sami Douba, Konstantinos Tsouvalas, Douba, Sami +1 · 1 citation
Mathematics · #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.2210.17549

openalex publication_date 2022/10/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We exhibit Anosov subgroups of SL_d(ℝ) that do not embed discretely in any rank-1 simple Lie group of noncompact type, or indeed, in any finite product of such Lie groups. These subgroups are isomorphic to free products Γ* Δ, where Γ is a uniform lattice in F₄^(-20) and Δ is a uniform lattice in Sp(m,1), m ≥ 51.

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