### Abstract

Let R (G) denote the character ring of a finite group G and let A be a commutative ring with identity. In this paper we show that if G ≠ 1, then ∧ ⊗_{z} R(G) has only one maximal ideal if and only if G is p-group and ∧ has only one maximal ideal m such that ∧/m is of characteristic p.

Original language | English |
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Pages (from-to) | 35-37 |

Number of pages | 3 |

Journal | Proceedings of the American Mathematical Society |

Volume | 67 |

Issue number | 1 |

DOIs | |

Publication status | Published - 1977 |

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

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## Cite this

Kondo, S. (1977). A property of finite p-groups.

*Proceedings of the American Mathematical Society*,*67*(1), 35-37. https://doi.org/10.1090/S0002-9939-1977-0460439-2