Complexes of groups and geometric small cancellation over graphs of groups

2013/06/28 by Alexandre Martin, Martin, Alexandre · 2 citations
Mathematics · #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR) #math.GR #math.GT

paper · pdf · doi:10.48550/arxiv.1306.6847

30 pages, 10 figures. revised version: new section on the hyperbolicity of the quotient group

arxiv created 2014/02/06 · arxiv updated 2014/02/07

Abstract

We explain and generalise a construction due to Gromov to realise geometric small cancellation groups over graphs of groups as fundamental groups of non-positively curved 2-dimensional complexes of groups. We then give conditions so that the hyperbolicity and some finiteness properties of the small cancellation quotient can be deduced from analogous properties for the local groups of the initial graph of groups.

Cited by

• Immersions of complexes of groups
• Combination of classifying spaces for proper actions

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