Quaternionic hyperbolic Kleinian groups with commutative trace skew-fields

2018/10/08 by Sungwoon Kim, Kim, Sungwoon, Joonhyung Kim +1
Mathematics · #22E40 #30F40 #57S30 #Algebraic and Geometric Analysis #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.1810.03293

openalex publication_date 2018/10/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let Γ be a nonelementary discrete subgroup of Sp(n,1). We show that if the trace skew-field of Γ is commutative, then Γ stabilizes a copy of complex hyperbolic subspace of quaternionic hyperbolic n-space.

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