Tits alternative for Artin groups of type FC

Alexandre Martin, Piotr Przytycki

Research output: Contribution to journalArticle

Abstract

Given a group action on a finite-dimensional CAT (0)\mathrmCAT(0) cube complex, we give a simple criterion phrased purely in terms of cube stabilisers that ensures that the group satisfies the strong Tits alternative, provided that each vertex stabiliser satisfies the strong Tits alternative. We use it to prove that all Artin groups of type FC satisfy the strong Tits alternative.

Original languageEnglish
Pages (from-to)563–573
Number of pages11
JournalJournal of Group Theory
Volume23
Issue number4
Early online date19 Mar 2020
DOIs
Publication statusPublished - 1 Jul 2020

ASJC Scopus subject areas

  • Algebra and Number Theory

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