Counting cycles in permutations by group characters, with an application to a topological problem

Author:
D. M. Jackson

Journal:
Trans. Amer. Math. Soc. **299** (1987), 785-801

MSC:
Primary 05A15; Secondary 05A05, 20C30, 57N37

MathSciNet review:
869231

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Abstract | References | Similar Articles | Additional Information

Abstract: The character theory of the symmetric group is used to derive properties of the number of permutations, with cycles, which are expressible as the product of a full cycle with an element of an arbitrary, but fixed, conjugacy class. For the conjugacy class of fixed point free involutions, this problem has application to the analysis of singularities in surfaces.

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DOI:
http://dx.doi.org/10.1090/S0002-9947-1987-0869231-9

Article copyright:
© Copyright 1987
American Mathematical Society