Abstract
We study the structure of nonsolvable finite groups whose every nonsolvable maximal subgroup is \( \Phi \)-simple.
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Acknowledgments
The author expresses her deep gratitude to Professor Viktor Aleksandrovich Vedernikov for the stating the problem and recommending how to solve it.
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Translated from Sibirskii Matematicheskii Zhurnal, 2022, Vol. 63, No. 4, pp. 736–747. https://doi.org/10.33048/smzh.2022.63.402
In memory of Viktor Aleksandrovich Vedernikov.
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Bazhanova, E.N. Finite Groups with Solvable or \( \Phi \)-Simple Maximal Subgroups. Sib Math J 63, 611–619 (2022). https://doi.org/10.1134/S0037446622040024
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DOI: https://doi.org/10.1134/S0037446622040024
Keywords
- maximal subgroup
- solvable group
- \( \Phi \)-simple group
- Frattini subgroup
- \( 2 \)-maximal subgroup
- quasisimple group
- simple group