Finite Groups with Solvable or $ \Phi $-Simple Maximal Subgroups

E. N. Bazhanova

doi:10.1134/s0037446622040024

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Finite Groups with Solvable or $ \Phi $-Simple Maximal Subgroups

E. N. Bazhanova

Year: 2022 Journal: Siberian Mathematical Journal Vol: 63 (4)Pages: 611-619 Publisher: Pleiades Publishing

DOI: 10.1134/s0037446622040024

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Abstract

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

Keywords:

Mathematics Simple (philosophy) Simple group Maximal subgroup Classification of finite simple groups Solvable group CA-group Fitting subgroup Combinatorics Locally finite group Pure mathematics Group of Lie type Group (periodic table) Finite group Discrete mathematics Group theory Physics Abelian group

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Finite Group Theory Research

Physical Sciences → Mathematics → Discrete Mathematics and Combinatorics

Coding theory and cryptography

Physical Sciences → Computer Science → Artificial Intelligence

Rings, Modules, and Algebras

Physical Sciences → Mathematics → Algebra and Number Theory

Finite Groups with Solvable or $ \Phi $-Simple Maximal Subgroups

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