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JOURNALS // Moscow Mathematical Journal // Archive

Mosc. Math. J., 2004 Volume 4, Number 1, Pages 131–152 (Mi mmj145)

This article is cited in 6 papers

Une nouvelle transformation pour les statistiques Euler-mahoniennes ensemblistes

D. Foata, G.-N. Han

University Louis Pasteur

Abstract: The construction of a bijection of the symmetric group onto itself is given that has the property of mapping a pair of set-statistics onto another pair. As a consequence, it is shown that a pair of Euler–Mahonian statistics has a symmetric distribution.

Key words and phrases: Permutation statistics, Euler–Mahonian statistics, symmetric groups, set-valued statistic equidistribution.

MSC: 05Axx, 05A30, 20B30

Received: October 16, 2002

Language: English

DOI: 10.17323/1609-4514-2004-4-1-131-152



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