Artin groups and infinite Coxeter groups

1983 ◽  
Vol 72 (2) ◽  
pp. 201-220 ◽  
Author(s):  
K. I. Appel ◽  
P. E. Schupp
Keyword(s):  
Coxeter Groups ◽  
Artin Groups

scholarly journals Cohomology of Coxeter groups and Artin groups

2000 ◽  
Vol 7 (2) ◽  
pp. 213-232 ◽  
Author(s):  
C. de Concini ◽  
M. Salvetti
Keyword(s):  
Coxeter Groups ◽  
Artin Groups

scholarly journals Right-angled Artin groups are commensurable with right-angled Coxeter groups

2000 ◽  
Vol 153 (3) ◽  
pp. 229-235 ◽  
Author(s):  
Michael W. Davis ◽  
Tadeusz Januszkiewicz
Keyword(s):  
Coxeter Groups ◽  
Artin Groups ◽  
Right Angled Artin Groups

On Artin groups and Coxeter groups of large type

1984 ◽  
pp. 50-78 ◽  
Author(s):  
Kenneth I. Appel
Keyword(s):  
Coxeter Groups ◽  
Artin Groups ◽  
Large Type

scholarly journals Artin groups associated to infinite Coxeter groups

1997 ◽  
Vol 163 (1-3) ◽  
pp. 129-138 ◽  
Author(s):  
Mario Salvetti ◽  
Fabio Stumbo
Keyword(s):  
Coxeter Groups ◽  
Artin Groups

scholarly journals Bounded rank subgroups of Coxeter groups, Artin groups and one-relator groups with torsion

2004 ◽  
Vol 88 (01) ◽  
pp. 89-113 ◽  
Author(s):  
Ilya Kapovich ◽  
Paul Schupp
Keyword(s):  
Coxeter Groups ◽  
Artin Groups ◽  
One Relator Groups ◽  
Bounded Rank

scholarly journals Proof of the $$K(\pi , 1)$$ conjecture for affine Artin groups

2020 ◽  
Author(s):  
Giovanni Paolini ◽  
Mario Salvetti
Keyword(s):  
Coxeter Groups ◽  
Configuration Spaces ◽  
Artin Groups ◽  
Classifying Spaces ◽  
Classifying Space ◽  
Crystallographic Groups ◽  
Noncrossing Partition ◽  
Dual Affine ◽  
Affine Reflection ◽  
Reflection Arrangement

AbstractWe prove the $$K(\pi ,1)$$ K ( π , 1 ) conjecture for affine Artin groups: the complexified complement of an affine reflection arrangement is a classifying space. This is a long-standing problem, due to Arnol’d, Pham, and Thom. Our proof is based on recent advancements in the theory of dual Coxeter and Artin groups, as well as on several new results and constructions. In particular: we show that all affine noncrossing partition posets are EL-shellable; we use these posets to construct finite classifying spaces for dual affine Artin groups; we introduce new CW models for the orbit configuration spaces associated with arbitrary Coxeter groups; we construct finite classifying spaces for the braided crystallographic groups introduced by McCammond and Sulway.

scholarly journals Embedding right-angled Artin groups into Brin–Thompson groups

2019 ◽  
Vol 169 (2) ◽  
pp. 225-229
Author(s):  
JAMES BELK ◽  
COLLIN BLEAK ◽  
FRANCESCO MATUCCI
Keyword(s):  
Coxeter Groups ◽  
Hyperbolic Groups ◽  
Surface Groups ◽  
Artin Group ◽  
Artin Groups ◽  
Finitely Generated ◽  
Special Group ◽  
Thompson Groups ◽  
Right Angled Artin Groups ◽  
Thompson Group

AbstractWe prove that every finitely-generated right-angled Artin group embeds into some Brin–Thompson group nV. It follows that any virtually special group can be embedded into some nV, a class that includes surface groups, all finitely-generated Coxeter groups, and many one-ended hyperbolic groups.

scholarly journals Automorphisms of odd Coxeter groups

2021 ◽  
Author(s):  
Tushar Kanta Naik ◽  
Mahender Singh
Keyword(s):  
Coxeter Groups

scholarly journals The R∞-property for right-angled Artin groups

2021 ◽  
pp. 107557
Author(s):  
Karel Dekimpe ◽  
Pieter Senden
Keyword(s):  
Artin Groups ◽  
Right Angled Artin Groups
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