Cleanliness versus Specialness
Group Theory
2025-03-24 v1
Abstract
We show that the fundamental group of a geometrically clean graph of finite rank free groups does not need to be virtually compact special, answering a question of Wise. This implies that the class of the virtually VH-clean graphs of finite rank free groups is a proper subclass of the class of virtually geometrically clean graphs of finite rank free groups.
Keywords
Cite
@article{arxiv.2503.16722,
title = {Cleanliness versus Specialness},
author = {Kasia Jankiewicz},
journal= {arXiv preprint arXiv:2503.16722},
year = {2025}
}
Comments
6 pages, 4 figures. Comments are welcome!