Statistics on Wreath Products and Generalized Binomial-Stirling Numbers

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dc.creatorRegev, Amitai
dc.creatorRoichman, Yuval
dc.date2004-04-20
dc.date.accessioned2026-07-07T05:07:35Z
dc.date.available2026-07-07T05:07:35Z
dc.descriptionVarious statistics on wreath products are defined via canonical words, "colored" right to left minima and "colored" descents. It is shown that refined counts with respect to these statistics have nice recurrence formulas of binomial-Stirling type. These extended Stirling numbers determine (via matrix inversion) dual systems, which are also shown to have combinatorial realizations within the wreath product. The above setting also gives rise to MacMahon type equi-distribution theorem over subsets with prescribed statistics.
dc.description36 pages
dc.identifierhttps://arxiv.org/abs/math/0404354
dc.identifierhttp://arxiv.org/abs/math/0404354
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70910
dc.subjectCombinatorics
dc.subject05A15, 05A19
dc.titleStatistics on Wreath Products and Generalized Binomial-Stirling Numbers
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