On the Number of Factorizations of a Full Cycle

dc.creatorIrving, John
dc.date2005-10-17
dc.date.accessioned2026-07-07T06:47:35Z
dc.date.available2026-07-07T06:47:35Z
dc.descriptionWe give a new expression for the number of factorizations of a full cycle into an ordered product of permutations of specified cycle types. This is done through purely algebraic means, extending work of Biane. We deduce from our result a formula of Poulalhon and Schaeffer that was previously derived through an intricate combinatorial argument.
dc.description5 pages, 0 figures
dc.identifierhttps://arxiv.org/abs/math/0510362
dc.identifierhttp://arxiv.org/abs/math/0510362
dc.identifierJ. Combin. Theory Ser A., 113 (2006), 1549-1554
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103701
dc.subjectCombinatorics
dc.subject05A05; 20B30
dc.titleOn the Number of Factorizations of a Full Cycle
dc.typetext

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