Canonical forms for dihedral and symmetric groups

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In this paper we introduce the elementary factorization of the standard OGS for the symmetric group, and show how it encodes the inversion and descent set statistics. Proofs follow from exchange laws for powers of Coxeter elements in the principal flag.

Original languageEnglish
Article numberP4.46
JournalElectronic Journal of Combinatorics
Issue number4
StatePublished - 2019


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