Finite groups all of whose non-normal subgroups possess the same order. (Q2892994)
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scientific article; zbMATH DE number 6049619
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finite groups all of whose non-normal subgroups possess the same order. |
scientific article; zbMATH DE number 6049619 |
Statements
25 June 2012
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finite \(p\)-groups
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Dedekind groups
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non-normal subgroups
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equal order subgroups
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Finite groups all of whose non-normal subgroups possess the same order. (English)
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The groups all of whose non-normal subgroups have equal order are classified. The same was done by \textit{G. Zappa} [Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 14, No. 1, 13-21 (2003; Zbl 1162.20304)] and by \textit{Y. Berkovich} and \textit{Z. Janko} [Groups of prime power order. Vol. 3. de Gruyter Expositions in Mathematics 56. Berlin: Walter de Gruyter (2011; Zbl 1229.20001), see \S 112].
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