Complexity volumes of splittable groups
Group Theory
2018-02-22 v2
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.
Cite
@article{arxiv.1604.02725,
title = {Complexity volumes of splittable groups},
author = {Mihalis Sykiotis},
journal= {arXiv preprint arXiv:1604.02725},
year = {2018}
}
Comments
Major revisions following the suggestions of the referee. To appear in Journal of Algebra