Finite groups with modular 𝜎-subnormal subgroups

Author:

Liu A-Ming1,Chen Mingzhu1,Safonova Inna N.2ORCID,Skiba Alexander N.3

Affiliation:

1. School of Science , Hainan University , Haikou , Hainan, 570228 , P. R. China

2. Department of Applied Mathematics and Computer Science , Belarusian State University , Minsk 220030 , Belarus

3. Department of Mathematics and Technologies of Programming , Francisk Skorina Gomel State University , Gomel 246019 , Belarus

Abstract

Abstract Let 𝜎 be a partition of the set of prime numbers. In this paper, we describe the finite groups for which every 𝜎-subnormal subgroup is modular.

Funder

National Natural Science Foundation of China

Ministry of Education of the Republic of Belarus

Publisher

Walter de Gruyter GmbH

Subject

Algebra and Number Theory

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