OD-characterization of almost simple groups related to $L_{2}(49)$

Liang Cai Zhang; Wu Jie Shi

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Displaying similar documents to “OD-characterization of almost simple groups related to $L_{2}(49)$”

A new characterization of Mathieu groups

Changguo Shao, Qinhui Jiang (2010)

Archivum Mathematicum

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Let $G$ be a finite group and $nse (G)$ the set of numbers of elements with the same order in $G$ . In this paper, we prove that a finite group $G$ is isomorphic to $M$ , where $M$ is one of the Mathieu groups, if and only if the following hold: (1) $| G | = | M |$ , (2) $nse (G) = nse (M)$ .

On the prime graphs of the automorphism groups of sporadic simple groups

Behrooz Khosravi (2009)

Archivum Mathematicum

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In this paper as the main result, we determine finite groups with the same prime graph as the automorphism group of a sporadic simple group, except $J_{2}$ .