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Transactions of the American Mathematical Society

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Counting semiregular permutations which are products of a full cycle and an involution

Author: D. M. Jackson
Journal: Trans. Amer. Math. Soc. 305 (1988), 317-331
MSC: Primary 05A15; Secondary 05A05, 20C30
MathSciNet review: 920161
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Abstract: Character theoretic methods and the group algebra of the symmetric group are used to derive properties of the number of permutations, with only $ p$-cycles, for an arbitrary but fixed $ p$, which are expressible as the product of a full cycle and a fixed point free involution. This problem has application to single face embeddings of $ p$-regular graphs on surfaces of given genus.

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Article copyright: © Copyright 1988 American Mathematical Society

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