A Foata bijection for the alternating group and for q analogues

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dc.creatorBernstein, Dan
dc.creatorRegev, Amitai
dc.date2005-03-06
dc.date.accessioned2026-07-07T05:17:43Z
dc.date.available2026-07-07T05:17:43Z
dc.descriptionThe Foata bijection $Φ: S_n \to S_n$ is extended to the bijections $Ψ: A_{n+1} \to A_{n+1}$ and $Ψ_q : S_{n+q-1} \to S_{n+q-1}$, where S_m, A_m are the symmetric and the alternating groups. These bijections imply bijective proofs for recent equidistribution theorems, by Regev and Roichman, for A_{n+1} and for S_{n+q-1}.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/math/0503112
dc.identifierhttp://arxiv.org/abs/math/0503112
dc.identifierSéminaire Lotharingien Combin. 53 (2005), Article B53b, 16 pp
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74412
dc.subjectCombinatorics
dc.subject05A15, 05A19
dc.titleA Foata bijection for the alternating group and for q analogues
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