E. N. Bazhanova, “Finite groups with solvable or <nobr>$\Phi$</nobr>-simple maximal subgroups”, Sibirsk. Mat. Zh., 2022, Volume 63, Number 4,Pages <nobr>736

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Finite groups with solvable or $\Phi$-simple maximal subgroups

E. N. Bazhanova

Moscow City University

Abstract: We study the structure of nonsolvable finite groups whose every nonsolvable maximal subgroup is $\Phi$-simple.

Keywords: maximal subgroup, solvable group, $\Phi$-simple group, Frattini subgroup, $2$-maximal subgroup, quasisimple group, simple group.

UDC: 512.542

MSC: 35R30

Received: 15.11.2021
Revised: 06.02.2022
Accepted: 10.02.2022

DOI: 10.33048/smzh.2022.63.402