Building Groups From Restricted Diagrams of Groups
Geometric Topology
2021-09-15 v2 Group Theory
Abstract
We consider the problem of realizing a group as the fundamental group of a graph of groups where the vertex groups are restricted to certain classes (for example, coming from a certain finite list of groups, or having bounded geometric rank). We show how this places restrictions on the possible groups that can be realized and we give a topological application of our results to the problem of constructing manifolds from a finite set of "building blocks".
Cite
@article{arxiv.2109.01939,
title = {Building Groups From Restricted Diagrams of Groups},
author = {Nic Brody and Michael R. Klug},
journal= {arXiv preprint arXiv:2109.01939},
year = {2021}
}