Congruence classes of presentations for the complex reflection groups \(G(m,1,n)\) and \(G(m,m,n)\).

DOI10.1016/S0019-3577(05)80028-XzbMath1134.20048OpenAlexW2000151047MaRDI QIDQ2566742

Jian-yi Shi

Publication date: 28 September 2005

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0019-3577(05)80028-x

zbMATH Keywords

presentationscomplex reflection groupsconnected graphsrooted treescongruence classes

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items

Hurwitz numbers for reflection groups I: generatingfunctionology, Hurwitz numbers for reflection groups. II: Parabolic quasi-Coxeter elements, Hurwitz orbits on reflection factorizations of parabolic quasi-Coxeter elements, Formula for the reflection length of elements in the group \(G(m,p,n)\)., Reflection subgroups and sub-root systems of the imprimitive complex reflection groups., AUTOMORPHISM GROUPS OF THE IMPRIMITIVE COMPLEX REFLECTION GROUPS

Cites Work

• Certain imprimitive reflection groups and their generic versions
• Finite complex reflection groups
• Finite Unitary Reflection Groups
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