Subgroups and diversity of left-orderable small cancellation groups

Autor:	Steenbock, Markus
Rok vydání:	2023
Předmět:	Mathematics - Group Theory
Druh dokumentu:	Working Paper
Popis:	We arrange classical small cancellation constructions to produce left-orderable groups: we show that every finitely generated group is the quotient of a left-ordered small cancellation group by a finitely generated kernel (Rips construction). We give presentations of left-ordered hyperbolic small cancellation groups that are not locally indicable, and observe that the class of left-ordered small cancellation groups that are not locally indicable is quasi-isometrically diverse. Altogether, this shows that left-orderable small cancellation groups form a rich and diverse class. Comment: 28 pages, minor revisions, incorporation of comments
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2312.12120 Zobrazit plný text záznamu View this record from Arxiv