Minimal Factorizations of a Cycle and Ce
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Philippe Biane
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Article
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1996
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Elsevier Science
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English
β 508 KB
We show that the number of factorizations \_=/ 1 } } } / r of a cycle of length n into a product of cycles of lengths a 1 , ..., a r , with r j=1 (a j &1)=n&1, is equal to n r&1 . This generalizes a well known result of J. Denes, concerning factorizations into a product of transpositions. We investi