In this paper, a formula is given for the Mo bius number +(1, S n ) of the subgroup lattice of the symmetric group S n . This formula involves the Mo bius numbers of certain transitive subgroups of S n . When n has at most two (not necessarily distinct) prime factors or n is a power of two, this for
Bispherical functions on the symmetric group associated with the hyperoctahedral subgroup
β Scribed by V. N. Ivanov
- Book ID
- 105483361
- Publisher
- Springer US
- Year
- 1999
- Tongue
- English
- Weight
- 589 KB
- Volume
- 96
- Category
- Article
- ISSN
- 1573-8795
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Hanlon, P., A Markov chain on the symmetric group and Jack symmetric functions, Discrete Mathematics 99 (1992) 123-140. Diaconis and Shahshahani studied a Markov chain Wf(l) whose states are the elements of the symmetric group S,. In W,(l), you move from a permutation n to any permutation of the for
We determine the number of blocks of the generalized Burnside ring of the symmetric group S with respect to the Young subgroups of S over a field of n n characteristic p. Let kS be a group algebra of S over a field k of characteristic n n Ε½ . p ) 0 and R R kS the Grothendieck ring of kS over p-local