\(D_p(3)\) (\(p\geq 5\)) can be characterized by its order components. (Q2884116)
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scientific article; zbMATH DE number 6038262
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(D_p(3)\) (\(p\geq 5\)) can be characterized by its order components. |
scientific article; zbMATH DE number 6038262 |
Statements
24 May 2012
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finite groups
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prime graphs
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order components
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simple groups of Lie type
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\(D_p(3)\) (\(p\geq 5\)) can be characterized by its order components. (English)
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Let \(G\) be a finite group and \(\text{OC}(G)\) the set of order components of \(G\) [\textit{G. Chen}, J. Algebra 185, No. 1, 184-193 (1996; Zbl 0861.20018)]. In this paper, the authors continue their previous works [see \textit{H. Shi} and \textit{G. Chen}, Far East J. Math. Sci. (FJMS) 27, No. 1, 205-216 (2007; Zbl 1149.20014)] and prove that \(D_p(3)\) (\(p\geq 5\)) can be uniquely determined by its set of order components.
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