Finite groups whose non-σ-subnormal subgroups are TI-subgroups

Abstract

Abstract–In this paper, for every partition σ of the set of all primes, we obtain a complete classification of finite groups in which every subgroup is a σ-subnormal subgroup or a TI-subgroup.

Keywords:

• Finite group
• σ-subnormal subgroup
• subnormal subgroup
• TI-subgroup

2020 Mathematics Subject Classification:

• 20D10
• 20D20
• 20D35

Additional information

Funding

The third author was supported by the Ministry of Education of the Republic of Belarus (Grant no. 20211779 “Convergence-2025”).