Geodesic
Canonical forms for dihedral and symmetric groups
Robert Shwartz1
1Ariel University
The electronic journal of combinatorics, Tome 26 (2019) no. 4
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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.
DOI : 10.37236/8583
Classification : 05E16, 06F15, 20B05, 20B20, 20B30
Mots-clés : inversion descent set statistics, descent set statistics

Robert Shwartz  1

1 Ariel University 
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     author = {Robert Shwartz},
     title = {Canonical forms for dihedral and symmetric groups},
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     year = {2019},
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Robert Shwartz. Canonical forms for dihedral and symmetric groups. The electronic journal of combinatorics, Tome 26 (2019) no. 4. doi: 10.37236/8583

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