Lengths of involutions in finite Coxeter groups

DOI10.1016/j.jpaa.2022.107190OpenAlexW4286508561MaRDI QIDQ2674538

Sarah B. Hart, Peter J. Rowley

Publication date: 14 September 2022

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2022.107190

zbMATH Keywords

involutionsCoxeter grouppermutation statisticsinversionslength polynomial

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Uses Software

• Magma

Cites Work

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• Effective black-box constructive recognition of classical groups.
• A practical model for computation with matrix groups.
• Cells in affine Weyl groups. II
• Criteria for rational smoothness of some symmetric orbit closures.
• On groups of even order
• Permutation statistics on involutions
• Representations of Coxeter groups and Hecke algebras
• \(q\)-analogues of the Hermite polynomials
• The generating function for the number of roots of a Coxeter group
• The Magma algebra system. I: The user language
• An improved method for generating the centralizer of an involution
• Solvability of groups of odd order
• Central elements in core-free groups
• Some remarks on involutions in coxeter groups
• Conjugacy classes of involutions in Coxeter groups
• Normalizers of Parabolic Subgroups of Reflection Groups
• On the root system of a coxeter group
• MINIMAL AND MAXIMAL LENGTH INVOLUTIONS IN FINITE COXETER GROUPS
• The Complete Enumeration of Finite Groups of the Form Ri2=(RiRj)kij=1

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