### 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 |

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### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

### Cite this

*Proceedings of the American Mathematical Society*,

*67*(1), 35-37. https://doi.org/10.1090/S0002-9939-1977-0460439-2

**A property of finite p-groups.** / Kondo, Shoichj.

Research output: Contribution to journal › Article

*Proceedings of the American Mathematical Society*, vol. 67, no. 1, pp. 35-37. https://doi.org/10.1090/S0002-9939-1977-0460439-2

}

TY - JOUR

T1 - A property of finite p-groups

AU - Kondo, Shoichj

PY - 1977

Y1 - 1977

N2 - 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.

AB - 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.

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U2 - 10.1090/S0002-9939-1977-0460439-2

DO - 10.1090/S0002-9939-1977-0460439-2

M3 - Article

AN - SCOPUS:84966231812

VL - 67

SP - 35

EP - 37

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 1

ER -