On normalizers of nilpotent subgroups. (Q1415342)
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scientific article; zbMATH DE number 2012742
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On normalizers of nilpotent subgroups. |
scientific article; zbMATH DE number 2012742 |
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On normalizers of nilpotent subgroups. (English)
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3 December 2003
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The authors give a very wide generalization (not only for finite groups) of \textit{G. Glauberman}'s theorem [Math. Z. 107, 1-20 (1968; Zbl 0172.03002)] which characterizes finite two-dimensional special linear groups as groups acting on \(p\)-groups with certain features. The precise formulation is too complicated to be stated here.
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nilpotent group systems
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Glauberman theorem
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two-dimensional linear groups
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