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February 2005 Purifiable Subgroups II
Takashi OKUYAMA
Hokkaido Math. J. 34(1): 237-245 (February 2005). DOI: 10.14492/hokmj/1285766206

Abstract

Let $G$ be an arbitrary group. A subgroup $A$ of $G$ is purifiable in $G$ if, among the pure subgroups of $G$ containing $A$, there exists a minimal one. We studied purifiable subgroups of abelian groups in [4]. In this note, we give simple proofs of [4,Theorem 4.6], [4,Theorem 4.7], and [4,Theorem 4.8].

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Takashi OKUYAMA. "Purifiable Subgroups II." Hokkaido Math. J. 34 (1) 237 - 245, February 2005. https://doi.org/10.14492/hokmj/1285766206

Information

Published: February 2005
First available in Project Euclid: 29 September 2010

zbMATH: 1070.20063
MathSciNet: MR2130780
Digital Object Identifier: 10.14492/hokmj/1285766206

Subjects:
Primary: 20K21
Secondary: 20K27

Rights: Copyright © 2005 Hokkaido University, Department of Mathematics

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Vol.34 • No. 1 • February 2005
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