Abelian subgroup structure of square complex groups and arithmetic of quaternions

Diego Rattaggi; Guyan Robertson

Abelian subgroup structure of square complex groups and arithmetic of quaternions

Group Theory 2013-02-25 v1 Geometric Topology

Authors: Diego Rattaggi , Guyan Robertson

Abstract

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.

Keywords

square complexes fundamental groups abelian subgroups quaternion algebras nonpositive curvature

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@article{arxiv.math/0501122,
  title  = {Abelian subgroup structure of square complex groups and arithmetic of quaternions},
  author = {Diego Rattaggi and Guyan Robertson},
  journal= {arXiv preprint arXiv:math/0501122},
  year   = {2013}
}

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13 pages

Abelian subgroup structure of square complex groups and arithmetic of quaternions

Abstract

Keywords

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