Incoherent Coxeter Groups

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 26 Jan 2016Embargo end date: 01 Jan 2015 English Publisher:American Mathematical Society (AMS)Journal:Proceedings of the American Mathematical Society, volume 144, pages 1,857-1,866 (issn: 0002-9939, eissn: 1088-6826,

Copyright policy )Funded by:NSERC | unidentified

Authors: Jankiewicz, Kasia; Wise, Daniel T.;

doi: 10.1090/proc/13013 , 10.48550/arxiv.1503.03102

arXiv: 1503.03102

Incoherent Coxeter Groups

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Abstract

We use probabilistic methods to prove that many Coxeter groups are incoherent. In particular, this holds for Coxeter groups of uniform exponent > 2 >2 with sufficiently many generators.

Related Organizations

McGill University
Canada

Keywords

Generators, relations, and presentations of groups, Reflection and Coxeter groups (group-theoretic aspects), coherent groups, FOS: Mathematics, finitely presented subgroups, Coxeter groups, Morse theory, Group Theory (math.GR), 20F55, finitely generated subgroups, Mathematics - Group Theory

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