Artin groups of types \(F_4\) and \(H_4\) are not commensurable with that of type \(D_4\)

DOI10.1016/j.topol.2021.107770OpenAlexW3174041203MaRDI QIDQ2049886

Ignat Soroko

Publication date: 27 August 2021

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.10471

zbMATH Keywords

Artin groupsautomorphismsmapping class groupscommensurabilityspherical type

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Geometric group theory (20F65) Braid groups; Artin groups (20F36) Topological methods in group theory (57M07) Automorphisms of infinite groups (20E36) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Related Items

Property \(R_\infty\) for some spherical and affine Artin-Tits groups

Uses Software

• GAP
• Magma
• CHEVIE

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Periodic elements in Garside groups.
• Torsion in the quotient group of the Artin-Brieskorn braid group and regular Springer numbers
• Automorphisms of complexes of curves on punctured spheres and on punctured tori
• The Magma algebra system. I: The user language
• Regular elements of finite reflection groups
• Artin groups of spherical type up to isomorphism.
• CHEVIE -- A system for computing and processing generic character tables
• Linearity of some low-complexity mapping class groups
• The development version of the \texttt{CHEVIE} package of \texttt{GAP3}.
• Finite complex reflection arrangements are \(K(\pi,1)\)
• Automorphism groups of some affine and finite type Artin groups.
• On the generic Krammer representations.
• Curve complexes and finite index subgroups of mapping class groups
• Artin-Gruppen und Coxeter-Gruppen
• BRAIDS, ORDERINGS AND ZERO DIVISORS
• Artin groups of type B and D
• Presentations for the punctured mapping class groups in terms of Artin groups
• A finite presentation of the mapping class group of a punctured surface