Gröbner–Shirshov bases for congruence classes of complex reflection groups

DOI10.1142/S1793557120400136zbMath1432.16050OpenAlexW2963019523MaRDI QIDQ5237404

Eylem Güzel Karpuz, Nurten Urlu Özalan, Suha Wazzan

Publication date: 18 October 2019

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557120400136

zbMATH Keywords

normal formword problemGröbner-Shirshov basiscomplex reflection group

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Braid groups; Artin groups (20F36) Extensions, wreath products, and other compositions of groups (20E22) Gröbner-Shirshov bases (16Z10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Gröbner-Shirshov bases of some monoids.
• Gröbner-Shirshov bases of some Weyl groups
• Gröbner-Shirshov basis for the braid group in the Birman-Ko-Lee generators.
• The diamond lemma for ring theory
• On regularity of finite reflection groups
• Gröbner-Shirshov bases for extended modular, extended Hecke, and Picard groups.
• Gröbner-Shirshov bases for some braid groups.
• Certain imprimitive reflection groups and their generic versions
• Gröbner-Shirshov Bases of the Generalized Bruck-Reilly ∗-Extension
• Finite complex reflection groups
• Gröbner-Shirshov basis for the singular part of the Brauer semigroup
• Word problem for special braid groups
• A note on the Gröbner-Shirshov bases over ad-hoc extensions of groups
• Simple Root Systems and Presentations for Certain Complex Reflection Groups
• Gröbner-Shirshov Bases of Some Semigroup Constructions
• Finite Unitary Reflection Groups