On torsion and mixed minimal Abelian groups

Brendan Goldsmith; S O'Hogain

doi:10.21427/f797-vf75

On torsion and mixed minimal Abelian groups

Brendan Goldsmith, S O'Hogain

Technological University Dublin

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

Abstract

An abelian group is said to be minimal if it is isomorphic to all its subgroups of finite index. We obtain a complete characterisation of such groups in the torsion case; in the case of mixed groups of rank 1 we obtain a characterisation for some large classes of such groups.

Original language	English
Pages (from-to)	1451-1465
Journal	Rocky Mountain Journal of Mathematics
Volume	32
DOIs	https://doi.org/10.21427/f797-vf75
Publication status	Published - 1 Jan 2002

Keywords

abelian group
minimal
torsion
mixed groups
rank 1

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10.21427/f797-vf75Licence: CC BY-NC-SA

Cite this

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abstract = "An abelian group is said to be minimal if it is isomorphic to all its subgroups of finite index. We obtain a complete characterisation of such groups in the torsion case; in the case of mixed groups of rank 1 we obtain a characterisation for some large classes of such groups.",

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KW - abelian group

KW - minimal

KW - torsion

KW - mixed groups

KW - rank 1

U2 - 10.21427/f797-vf75

DO - 10.21427/f797-vf75

M3 - Article

VL - 32

SP - 1451

EP - 1465

JO - Rocky Mountain Journal of Mathematics

JF - Rocky Mountain Journal of Mathematics

ER -

On torsion and mixed minimal Abelian groups

Abstract

Keywords

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