A Combinatorial Approach to the Double Cosets of the Symmetric Group with respect to Young Subgroups

Author: Jones A.R.  

Publisher: Academic Press

ISSN: 0195-6698

Source: European Journal of Combinatorics, Vol.17, Iss.7, 1996-10, pp. : 647-655

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Abstract

Combinatorial methods are employed to study the double cosets of the symmetric group S n with respect to Young subgroups H and K. The current paper develops a correspondence between these double cosets and certain lists of integers. This approach leads naturally to an algorithm for computing the number of (H, K)- double cosets of S n .