A characterization of the group \(^2D_n(2)\), where \(n=2m+1\geq 5\). (Q1034983)
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scientific article; zbMATH DE number 5627283
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A characterization of the group \(^2D_n(2)\), where \(n=2m+1\geq 5\). |
scientific article; zbMATH DE number 5627283 |
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A characterization of the group \(^2D_n(2)\), where \(n=2m+1\geq 5\). (English)
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9 November 2009
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Let \(G\) be a finite group and \(\text{OC}(G)\) the set of order components of \(G\) [\textit{G.-Y. Chen}, J. Algebra 185, No. 1, 184-193 (1996; Zbl 0861.20018)]. In this paper the authors prove that \(^2D_n(2)\) where \(n=2^m+1\geq 5\) can be uniquely determined by its set of order components. A main consequence of this result is the validity of Thompson's conjecture for the groups under consideration.
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finite simple groups of Lie type
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prime graphs
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order components
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