A property of finite p-groups

Shoichj Kondo

doi:10.1090/S0002-9939-1977-0460439-2

A property of finite p-groups

Shoichj Kondo^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

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
Pages (from-to)	35-37
Number of pages	3
Journal	Proceedings of the American Mathematical Society
Volume	67
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9939-1977-0460439-2
Publication status	Published - 1977

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.1090/S0002-9939-1977-0460439-2

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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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A property of finite p-groups

Abstract

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