R-Hopﬁan and L-co-Hopﬁan Abelian Groups

Brendan Goldsmith; Katao Gong

doi:10.21427/wn12-zy44

R-Hopﬁan and L-co-Hopﬁan Abelian Groups

Brendan Goldsmith, Katao Gong

Technological University Dublin

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

Abstract

The notions of Hopﬁan and co-Hopﬁan groups are well known in both non-commutative and Abelian group theory. In this work we begin a systematic investigation of natural generalizations of these concepts and, in the case of Abelian p-groups, give a complete characterization of the generalizations in terms of the original concepts.

Original language	English
Pages (from-to)	333-349
Journal	Groups, Modules, and Model Theory - Surveys and Recent Developments
DOIs	https://doi.org/10.21427/wn12-zy44
Publication status	Published - 1 Jan 2017

Keywords

Hopﬁan groups
co-Hopﬁan groups
non-commutative group theory
Abelian group theory
generalizations
Abelian p-groups
characterization

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10.21427/wn12-zy44Licence: CC BY-NC-SA

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abstract = "The notions of Hopﬁan and co-Hopﬁan groups are well known in both non-commutative and Abelian group theory. In this work we begin a systematic investigation of natural generalizations of these concepts and, in the case of Abelian p-groups, give a complete characterization of the generalizations in terms of the original concepts.",

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AB - The notions of Hopﬁan and co-Hopﬁan groups are well known in both non-commutative and Abelian group theory. In this work we begin a systematic investigation of natural generalizations of these concepts and, in the case of Abelian p-groups, give a complete characterization of the generalizations in terms of the original concepts.

KW - Hopﬁan groups

KW - co-Hopﬁan groups

KW - non-commutative group theory

KW - Abelian group theory

KW - generalizations

KW - Abelian p-groups

KW - characterization

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DO - 10.21427/wn12-zy44

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JO - Groups, Modules, and Model Theory - Surveys and Recent Developments

JF - Groups, Modules, and Model Theory - Surveys and Recent Developments

ER -

R-Hopﬁan and L-co-Hopﬁan Abelian Groups

Abstract

Keywords

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