Presentations of Coxeter groups of type \(A, B\), and \(D\) using prefix-reversal generators

DOI10.1007/s00200-022-00560-9zbMATH Open1543.2004MaRDI QIDQ6568913

Charles Buehrle, Saúl A. Blanco

Publication date: 8 July 2024

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

zbMATH Keywords

Coxeter groupgroup presentationprefix reversal

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Symmetric groups (20B30)

Cites Work

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• An \((18/11)n\) upper bound for sorting by prefix reversals
• A catalogue of complete group presentations
• Bounds for sorting by prefix reversal
• Rewriting systems of Coxeter groups
• Abstract definitions of the symmetric and alternating groups and certain other permutation groups.
• Combinatorics of Coxeter Groups
• Some relations on prefix reversal generators of the symmetric and hyperoctahedral group

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