Cleanliness versus Specialness

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1. Verfasser: Jankiewicz, Kasia
Format: Preprint
Veröffentlicht: 2025
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_version_ 1866917964489424896
author Jankiewicz, Kasia
author_facet Jankiewicz, Kasia
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2503_16722
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Cleanliness versus Specialness
Jankiewicz, Kasia
Group Theory
20E06, 20F65, 20F36
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.
title Cleanliness versus Specialness
topic Group Theory
20E06, 20F65, 20F36
url https://arxiv.org/abs/2503.16722