Alternating subgroups of Coxeter groups

2007/02/07 by Francesco Brenti, Brenti, Francesco, Victor Reiner +3
Computer Science · Mathematics · #20F05 #20F55 #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Group Theory (math.GR) #math.CO #math.GR #msc:20F05 #msc:20F55 #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.math/0702177

39 pages, 3 figures

arxiv created 2007/02/07 · openalex publication_date 2007/02/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study combinatorial properties of the alternating subgroup of a Coxeter group, using a presentation of it due to Bourbaki.

Citations

• q-Eulerian Polynomials Arising from Coxeter Groups

Related

• Generator Sets for the Alternating Group
• A Generalization of an Alternating Sum Formula for Finite Coxeter Groups
• A property of alternating groups
• A Survey of Alternating Permutations
• On the group of alternating colored permutations