# Young subgroup

From Encyclopedia of Mathematics

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. , .

#### References

[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 |

**How to Cite This Entry:**

Young subgroup.

*Encyclopedia of Mathematics.*URL: http://www.encyclopediaofmath.org/index.php?title=Young_subgroup&oldid=19253