On π -Submaximal Subgroups of Minimal Nonsolvable Groups

Siberian Mathematical Journal（2022）

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摘要

In 1979, Wielandt raised the problem of classifying the π -submaximal subgroups in minimal nonsolvable groups. Some solution to this problem is known for the minimal simple groups. We classify the π -submaximal subgroups of minimal nonsolvable groups whose Frattini subgroup is the minimal normal 2 -subgroup.

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关键词

minimal nonsolvable group,minimal simple group,π-maximal subgroup,π-submaximal subgroup

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