Minimal Transitive Factorizations of Permutations into Cycles

DOI10.4153/CJM-2009-052-2zbMath1186.05006arXivmath/0610735OpenAlexW2963693274WikidataQ114021675 ScholiaQ114021675MaRDI QIDQ3184307

John Irving

Publication date: 14 October 2009

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0610735

zbMATH Keywords

permutationscyclesfactorizationsbranched coveringsenumerative problem

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Permutations, words, matrices (05A05) Combinatorial aspects of representation theory (05E10)

Related Items (7)

\(k\)-factorizations of the full cycle and generalized Mahonian statistics on \(k\)-forests ⋮ Expansion of polynomial Lie group integrals in terms of certain maps on surfaces, and factorizations of permutations ⋮ Minimal factorizations of a cycle: a multivariate generating function ⋮ Inequivalent factorizations of permutations ⋮ Unnamed Item ⋮ Minimal factorizations of permutations into star transpositions ⋮ Factorizations of cycles and multi-noded rooted trees

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