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Factorizations of large cycles in the symmetric group
2002
Discrete Mathematics
The factorizations of an n-cycle of the symmetric group Sn into m permutations with prescribed cycle types 1; : : : ; m describe topological equivalence classes of one pole meromorphic functions on Riemann surfaces. This is one of the motivations for a vast literature on counting such factorizations. Their number, denoted by c (n) 1 ;:::; m , is also known as a connection coe cient of the center of the algebra of the symmetric group, whose multiplicative structure it describes. The relation to
doi:10.1016/s0012-365x(01)00361-2
fatcat:yeummsfaevhazamiu2koskcczy