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Title: Homology of Coxeter and Artin groups
Author: Boyd, Rachael
ISNI:       0000 0004 7228 8533
Awarding Body: University of Aberdeen
Current Institution: University of Aberdeen
Date of Award: 2018
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We calculate the second and third integral homology of arbitrary finite rank Coxeter groups. The first of these calculations refines a theorem of Howlett, the second is entirely new. We then prove that families of Artin monoids, which have the braid monoid as a submonoid, satisfy homological stability. When the K(π,1) conjecture holds this gives a homological stability result for the associated families of Artin groups. In particular, we recover a classic result of Arnol'd.
Supervisor: Not available Sponsor: Engineering and Physical Sciences Research Council
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: Homology theory ; Coxeter groups ; Artin algebras