## Abstract

Let S_{n+1} be the symmetric group on the n + 1 symbols 0,1,2,., n. We show that the center of the group-ring Z[S_{n+1}] coincides with the set of symmetric polynomials with integral coefficients in the n elements s_{1},…s_{n} ϵ Z[S_{n+1}], where s_{k} = 㨰_{≤i≤k}(i, k) is a surn of k transpositions, k = 1,., n. In particular, every conjugacy-class-sum of S_{n+1}, is a symmetric polynomial in s_{1},., s_{n}.

Original language | English |
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Pages (from-to) | 167-180 |

Number of pages | 14 |

Journal | Transactions of the American Mathematical Society |

Volume | 332 |

Issue number | 1 |

DOIs | |

State | Published - Jul 1992 |

## ASJC Scopus subject areas

- Mathematics (all)
- Applied Mathematics

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