A note on \(2\)-automorphic \(2\)-groups (Q1923951)
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scientific article; zbMATH DE number 934248
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on \(2\)-automorphic \(2\)-groups |
scientific article; zbMATH DE number 934248 |
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A note on \(2\)-automorphic \(2\)-groups (English)
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3 June 1997
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Let \(G\) be a finite 2-group on whose set of involutions \(\text{Aut}(G)\) acts transitively, in this case \(G\) is called a 2-automorphic 2-group. It is proved that every 2-automorphic 2-group is of class at most 2.
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finite \(2\)-groups
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involutions
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\(2\)-automorphic \(2\)-groups
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