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More on the set of element orders in finite groups - MaRDI portal

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More on the set of element orders in finite groups (Q1814740)

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scientific article; zbMATH DE number 940630
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English
More on the set of element orders in finite groups
scientific article; zbMATH DE number 940630

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    More on the set of element orders in finite groups (English)
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    27 January 1997
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    Let \(G\) be a finite group. Let \(\pi_e(G)\) be the set of element orders of \(G\). The authors announce the following Theorem: Let \(G\) be a finite group. Then \(\pi_e(G)=\pi_e(L_3(9))\) if and only if \(G\cong L_3(9)\) or \(L_3(9)\cdot 2_1\).
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    \(L_ 3(9)\)
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    finite groups
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    sets of element orders
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