Factorizations of large cycles in the symmetric group
type: Item
instance of: scholarly article
title: Factorizations of large cycles in the symmetric group
zbMATH Open document ID: 1015.20003
DOI: 10.1016/S0012-365X(01)00361-2
author: Dominique Poulalhon
author: Gilles Schaeffer
published in: Discrete Mathematics
publication date: 2002-08-29T00:00:00Z
review text: Let \(C^{(n)}_{\alpha_1,\dots,\alpha_m}\) denote the number of factorizations of an \(n\)-cycle into \(m\) permutations of \(S_n\) of types \(\alpha_1,\dots,\alpha_m\). Although this number can be computed using the character table of \(S_n\), but the authors find a new formula to calculate this number.
reviewed by: M. R. Darafsheh
Mathematics Subject Classification ID: 20B30
Mathematics Subject Classification ID: 05A15
zbMATH DE Number: 1792473
zbMATH Keywords: symmetric groups
zbMATH Keywords: conjugacy classes
zbMATH Keywords: connection coefficients
zbMATH Keywords: numbers of factorizations
Wikidata QID: Q114122947
MaRDI profile type: Publication
full work available at URL: s0012-365x(01)00361-2
OpenAlex ID: W1999395516
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description: scientific article; zbMATH DE number 1792473