Subgroup-closed lattice formations

JOURNAL OF ALGEBRA

卷:444

Article

Yi, Xiaolan¹  Kamornikov, S. F.² 

[1] Zhejiang Sci Tech Univ, Dept Math, Hangzhou 310018, Zhejiang, Peoples R China

[2] Int Univ MITSO, Gomel Branch, Gomel 246019, BELARUS

关键词: Finite group;    Formation;    Lattice;    Residual;   

DOI  :  10.1016/j.jalgebra.2015.07.021

来源: Elsevier

【 摘 要 】

A formation of finite groups is called a lattice formation if the set of all W-subnormal subgroups is a sublattice of the lattice of all subgroups in every finite group. The main result of this paper describes the family of all subgroup-closed lattice formations, and it can be regarded as an important step towards the solution of Shemetkov's classification problem. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free