Splittings of generalized Baumslag-Solitar groups
Group Theory
2016-09-13 v2 Geometric Topology
Abstract
We study the structure of generalized Baumslag-Solitar groups from the point of view of their (usually non-unique) splittings as fundamental groups of graphs of infinite cyclic groups. We find and characterize certain decompositions of smallest complexity (`fully reduced' decompositions) and give a simplified proof of the existence of deformations. We also prove a finiteness theorem and solve the isomorphism problem for generalized Baumslag-Solitar groups with no non-trivial integral moduli.
Cite
@article{arxiv.math/0502060,
title = {Splittings of generalized Baumslag-Solitar groups},
author = {Max Forester},
journal= {arXiv preprint arXiv:math/0502060},
year = {2016}
}
Comments
20 pages; hyperlinked latex. Version 2: minor changes