Small cancellation groups with and without sigma-compact Morse boundary

Autor:	Zbinden, Stefanie
Rok vydání:	2023
Předmět:	Mathematics - Group Theory
Druh dokumentu:	Working Paper
Popis:	We provide examples of classical small-cancellation groups which have non-sigma-compact Morse boundary. These are first known examples of groups with non-sigma-compact Morse boundary. Some small-cancellation groups do have sigma-compact Morse boundary, so this property distinguishes quasi-isometry types of small-cancellation groups. In fact, we give a complete description of when Morse boundaries of $C'(1/6)$--groups have sigma-compact Morse boundary. We also provide examples of $C'(1/6)$--groups where all Morse rays are strongly contracting. Comment: Comments welcome!
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2307.13325 Zobrazit plný text záznamu View this record from Arxiv