Finite \(p\)-groups not characteristic in any \(p\)-group in which they are properly contained. (Q948875)
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scientific article; zbMATH DE number 5351774
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finite \(p\)-groups not characteristic in any \(p\)-group in which they are properly contained. |
scientific article; zbMATH DE number 5351774 |
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Finite \(p\)-groups not characteristic in any \(p\)-group in which they are properly contained. (English)
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16 October 2008
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Answering a question of Y. Berkovich, the author exhibits examples of finite \(p\)-groups \(G\) that are not characteristic in any finite \(p\)-group properly containing them. The main result actually shows that any finite \(p\)-group can be embedded in such a \(G\).
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finite \(p\)-groups
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characteristic subgroups
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automorphisms
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wreath products
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