Complexity volumes of splittable groups

2016/04/10 by Sykiotis, Mihalis · 1 citation
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1604.02725

Abstract

Using graph of groups decompositions of finitely generated groups, we define Euler characteristic type invariants which are non-zero in many interesting classes of finitely presented, hyperbolic, limit and CSA groups, including elementarily free groups and one-ended torsion-free hyperbolic groups whose JSJ decomposition contains a maximal hanging Fuchsian vertex group.

Cited by

• Finite Index Rigidity of Relatively Hyperbolic Groups

Related

• Volume vs. Complexity of Hyperbolic Groups
• Equi-variant and Stable Finite Decomposition Complexity
• Decomposition complexity growth of finitely generated groups
• Infinite simple characteristic quotients
• Strong accessibility for hyperbolic groups