Minimal transitive products of transpositions---the reconstruction of a proof of A. Hurwitz

zbMath0886.05006MaRDI QIDQ1380711

Strehl, Volker

Publication date: 12 March 1998

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/119294

zbMATH Keywords

symmetric grouppermutationcounting problemtranspositions

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Permutations, words, matrices (05A05)

Related Items (16)

The Pfaff/Cauchy derivative identities and Hurwitz type extensions ⋮ Polynomiality of monotone Hurwitz numbers in higher genera ⋮ Hurwitz numbers for reflection groups I: generatingfunctionology ⋮ Annular noncrossing permutations and minimal transitive factorizations ⋮ Transitive cycle factorizations and prime parking functions ⋮ The absolute order of a permutation representation of a Coxeter group ⋮ On maximal chains in the non-crossing partition lattice ⋮ Genus $0$ and $1$ Hurwitz numbers: Recursions, formulas, and graph-theoretic interpretations ⋮ Chamber behavior of double Hurwitz numbers in genus 0 ⋮ Inequivalent factorizations of permutations ⋮ A proof of a conjecture for the number of ramified coverings of the sphere by the torus ⋮ The number of ramified coverings of the sphere by the double torus, and a general form for higher genera ⋮ Enumeration of planar constellations ⋮ Transitive factorizations in the symmetric group, and combinatorial aspects of singularity theory ⋮ Forest volume decompositions and Abel-Cayley-Hurwitz multinomial expansions ⋮ Combinatorial and algebraic enumeration: a survey of the work of Ian P. Goulden and David M. Jackson

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