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Abelian subgroup structure of square complex groups and arithmetic of quaternions

Diego Rattaggi·Guyan Robertson
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Abstract

A square complex is a 2-complex formed by gluing squares together. This article is concerned with the fundamental group $Γ$ of certain square complexes of nonpositive curvature, related to quaternion algebras. The abelian subgroup structure of $Γ$ is studied in some detail.

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Diego Rattaggi, Guyan Robertson. 2005-01-09. Abelian subgroup structure of square complex groups and arithmetic of quaternions. https://arxiv.org/abs/math/0501122

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