On socle-regularity and some notions of transitivity for Abelian \(p\)-groups. (Q412548)
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scientific article; zbMATH DE number 6030523
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On socle-regularity and some notions of transitivity for Abelian \(p\)-groups. |
scientific article; zbMATH DE number 6030523 |
Statements
On socle-regularity and some notions of transitivity for Abelian \(p\)-groups. (English)
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4 May 2012
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In this clearly written paper, the authors describe four notions of transitivity for reduced Abelian \(p\)-groups and derive the connections among them. They relate these properties to the concepts of (strongly) socle-regular groups.
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Abelian \(p\)-groups
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fully invariant subgroups
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characteristic subgroups
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fully transitive groups
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Krylov transitive groups
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weakly transitive groups
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strongly socle-regular groups
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