Abelian subgroup structure of square complex groups and arithmetic of quaternions
classification
🧮 math.GR
math.GT
keywords
complexsquareabeliangammastructuresubgroupalgebrasarithmetic
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A square complex is a 2-complex formed by gluing squares together. This article is concerned with the fundamental group $\Gamma$ of certain square complexes of nonpositive curvature, related to quaternion algebras. The abelian subgroup structure of $\Gamma$ is studied in some detail.
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