Finite groups with modular 𝜎-subnormal subgroups-Reference-Cited by-同舟云学术

Finite groups with modular 𝜎-subnormal subgroups

Published:2023-11-17 Issue:0 Volume:0 Page:
ISSN:1433-5883
Container-title:Journal of Group Theory
language:en
Short-container-title:

Author:

Liu A-Ming¹,Chen Mingzhu¹,Safonova Inna N.²^ORCID,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

Link

https://www.degruyter.com/document/doi/10.1515/jgth-2023-0064/pdf

Reference22 articles.

1. A. Ballester-Bolinches, R. Esteban-Romero and M. Asaad, Products of Finite Groups, De Gruyter Exp. Math. 53, Walter de Gruyter, Berlin, 2010.

2. A. Ballester-Bolinches and L. M. Ezquerro, Classes of Finite Groups, Math. Appl. (Springer) 584, Springer, Dordrecht, 2006.

3. A. Ballester-Bolinches, M. C. Pedraza-Aguilera and V. Pérez-Calabuig, On two classes of generalised finite T-groups, Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM 117 (2023), no. 3, Paper No. 105.

4. K. Doerk and T. Hawkes, Finite Soluble Groups, De Gruyter Exp. Math. 4, Walter de Gruyter, Berlin, 1992.

5. W. Guo, Z. Chi and A. N. Skiba, On 𝜎-supersoluble groups and one generalization of C ⁢ L ⁢ T CLT -groups, J. Algebra 512 (2018), 92–108.