Leighton's Theorem and Regular Cube Complexes

Autor:	Woodhouse, Daniel J.
Rok vydání:	2021
Předmět:	Mathematics - Group Theory Mathematics - Geometric Topology
Zdroj:	Algebr. Geom. Topol. 23 (2023) 3395-3415
Druh dokumentu:	Working Paper
DOI:	10.2140/agt.2023.23.3395
Popis:	Leighton's graph covering theorem states that two finite graphs with common universal cover have a common finite cover. We generalize this to a large family of non-positively curved special cube complexes that form a natural generalization of regular graphs. This family includes both hyperbolic and non-hyperbolic CAT(0) cube complexes. Comment: 17 pages, 3 figures, comments welcome The separable subgroup condition was not quite strong enough in the previous version and has been strengthened appropriately
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2109.03295 Zobrazit plný text záznamu View this record from Arxiv