Let be a partition of into disjoint subsets. Then the corresponding Young subgroup of , the symmetric group on letters, is the subgroup
where . Sometimes only the particular cases
are meant where , where and is a partition of the natural number , i.e. , .
|[a1]||G.D. James, "The representation theory of the symmetric groups" , Springer (1978) pp. 13|
|[a2]||A. Kerber, "Representations of permutation groups" , I , Springer (1971) pp. 17|
Young subgroup. Encyclopedia of Mathematics. URL: http://www.encyclopediaofmath.org/index.php?title=Young_subgroup&oldid=19253