ALMOST ABELIAN NUMBERS

Abstract We introduce the concept of almost $\mathcal {P}$ -numbers where $\mathcal {P}$ is a class of groups. We survey the existing results in the literature for almost cyclic numbers, and give characterisations for almost abelian and almost nilpotent numbers proving these two concepts are equivalent.

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Publication Details

Journal
Bulletin of the Australian Mathematical Society
Published
2024-12-20
DOI
https://doi.org/10.1017/s0004972724001126
Citations
1
Primary Topic
Rings, Modules, and Algebras
Type
article
Field-Weighted Citation Impact
1.27
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article

ALMOST ABELIAN NUMBERS

I Pleşcă, Marius Tărnăuceanu
1 citations
Bulletin of the Australian Mathematical Society
Rings, Modules, and Algebras
1.27
article

ALMOST ABELIAN NUMBERS

I Pleşcă, Marius Tărnăuceanu
article en
1 citations

Abstract

Abstract We introduce the concept of almost $\mathcal {P}$ -numbers where $\mathcal {P}$ is a class of groups. We survey the existing results in the literature for almost cyclic numbers, and give characterisations for almost abelian and almost nilpotent numbers proving these two concepts are equivalent.

Bulletin of the Australian Mathematical SocietyVol. 111(3)
Alexandru Ioan Cuza University (RO)
Reduced inequalities
Openalex Percentile: Top 17%
Rings, Modules, and Algebras
1.27
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ALMOST ABELIAN NUMBERS — I Pleşcă, Marius Tărnăuceanu · Bulletin of the Australian Mathematical Society (2024) | TGRS Research Map | TGRS