Reflection ordering on the group \(G(m,p,n)\).

DOI10.1016/j.jalgebra.2008.02.005zbMath1144.20022OpenAlexW1986944862MaRDI QIDQ934068

Jian-yi Shi

Publication date: 29 July 2008

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2008.02.005

zbMATH Keywords

reflectionsreflection groupslength functionsreflection orderingsreflection lengthscircle non-intersecting partitions

Mathematics Subject Classification ID

Partial orders, general (06A06) Generators, relations, and presentations of groups (20F05) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (2)

Reflection ordering on the group \(G(m,m,n)\). ⋮ The absolute order of a permutation representation of a Coxeter group

Cites Work

• Unnamed Item
• Formula for the reflection length of elements in the group \(G(m,p,n)\).
• Generalized noncrossing partitions and combinatorics of Coxeter groups

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