Affine buildings for dihedral groups

2008/09/01 by Arkady Berenstein, Berenstein, Arkady, Michael Kapovich +1 · 2 citations
Mathematics · #20E42 #20G15 #51E24 #53C20 #Advanced Operator Algebra Research #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR) #Metric Geometry (math.MG) #Representation Theory (math.RT) #math.GR #math.MG #math.RT #msc:20E42 #msc:20G15 #msc:51E24 #msc:53C20

paper · pdf · doi:10.48550/arxiv.0809.0300

40 pages, 10 figures

arxiv created 2008/09/01 · openalex publication_date 2008/09/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct rank 2 thick nondiscrete affine buildings associated with an arbitrary finite dihedral group.

Cited by

• Two-dimensional affine R-buildings defined by generalized polygons with non-discrete valuation
• Generalized affine buildings

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