Finite groups whose maximal subgroups have only soluble proper subgroups

Authors

  • Daria Lytkina Sobolev Institute of Mathematics SO RAN, Novosibirsk State University, Siberian State University of telecommunications and information sciences
  • Archil Zhurtov Kabardin-Balkarian State University

Keywords:

finite group, maximal subgroup, solubility.

Abstract

We give a description of a finite group whose maximal subgroups possess only soluble proper subgroups, which implies the answer to the well-known question on composition factors of finite groups, whose second maximal subgroups are soluble.

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Published

2022-04-08

Issue

Vol. 19 No. 1 (2022): Volume 19, N 1

Section

Mathematical logic, algebra and number theory