Finite ABA-groups with Abelian p-subgroups A and B (Q909028)
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scientific article; zbMATH DE number 4136209
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finite ABA-groups with Abelian p-subgroups A and B |
scientific article; zbMATH DE number 4136209 |
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Finite ABA-groups with Abelian p-subgroups A and B (English)
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1988
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A group which can be represented as the product ABA of its subgroups A and B, is called an ABA-group. The paper studies the situation when A and B are arbitrary Abelian p-subgroups. Since in any p-group of the form \(G=ABA\) the subgroups A and B commute with one another, and actually \(G=AB\), the author is mainly interested in the case when the ABA-group G with Abelian p-subgroups A and B is not a p-group.
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product of subgroups
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Abelian p-subgroups
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ABA-group
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