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A conjecture of Abe-Iiyori and the Ree groups \(^2F_4(q)\). II. - MaRDI portal

A conjecture of Abe-Iiyori and the Ree groups \(^2F_4(q)\). II. (Q867772)

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scientific article; zbMATH DE number 5127933
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English
A conjecture of Abe-Iiyori and the Ree groups \(^2F_4(q)\). II.
scientific article; zbMATH DE number 5127933

    Statements

    A conjecture of Abe-Iiyori and the Ree groups \(^2F_4(q)\). II. (English)
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    16 February 2007
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    The author proves that if a finite group \(G\) has the same set of orders of soluble subgroups as the group \(M(q)\), where \(M(q)\) is one of the finite simple groups \(^2F_4(q)\), \(q=2^m\), or \(^2F_4(2)'\), then \(G\simeq M(q)\).
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    sets of orders of solvable subgroups
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    prime graphs
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    Ree groups
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