Transitive Factorizations in the Symmetr
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Ian P. Goulden; David M. Jackson
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Article
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2000
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Elsevier Science
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English
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We consider the determination of the number c k (ฮฑ) of ordered factorizations of an arbitrary permutation on n symbols, with cycle distribution ฮฑ, into k-cycles such that the factorizations have minimal length and the group generated by the factors acts transitively on the n symbols. The case k = 2