Finite non-elementary Abelian \(p\)-groups whose number of subgroups is maximal. (Q375690)
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scientific article; zbMATH DE number 6221475
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finite non-elementary Abelian \(p\)-groups whose number of subgroups is maximal. |
scientific article; zbMATH DE number 6221475 |
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Finite non-elementary Abelian \(p\)-groups whose number of subgroups is maximal. (English)
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31 October 2013
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Let \(G\) be a finite non-elementary Abelian \(p\)-group, \(p>2\), \(M_p(1,1,1)\) a nonabelian group of order \(p^3\) and exponent \(p\), \(E\) an elementary Abelian \(p\)-group. If \(G\) is a group with the title property, then \(G=M_p(1,1,1)\times E\).
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finite \(p\)-groups
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elementary Abelian \(p\)-groups
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numbers of subgroups
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