CAT(0) triangle-pentagon complexes
Ioana-Claudia Laz\u{a}r
TL;DR
This paper demonstrates that specific triangulations of CAT(0) triangle-pentagon complexes are 7-located and locally 5-large, providing new examples of groups with these properties.
Contribution
It introduces new examples of groups derived from CAT(0) triangle-pentagon complexes that are 7-located and locally 5-large, expanding the understanding of such geometric group properties.
Findings
Triangulation of CAT(0) complexes is 7-located.
Triangulation of CAT(0) complexes is locally 5-large.
Examples of groups with these properties are provided.
Abstract
We show that a certain triangulation of CAT(0) triangle-pentagon complexes is -located and locally -large. Hereby we give examples of -located, locally -large groups.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Combinatorial Mathematics · Geometric and Algebraic Topology