Lattices of composition formations of finite groups and the laws

被引：11

作者：

Tsarev, Aleksandr ^{[1
,2
]}

Vorob'ev, Nikolay N. ^{[1
]}

机构：

[1] PM Masherov Vitebsk State Univ, Dept Math, Moscow Ave 33, Vitebsk 210038, BELARUS

[2] Jeju Natl Univ, Dept Math, Jeju 690756, South Korea

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2018年 / 17卷 / 05期

关键词：

Subgroup functor; formation of groups; tau-closed n-multiply omega-composition formation; law of a lattice; distributive lattice; (sic)-separated lattice of formations;

D O I：

10.1142/S0219498818500846

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that every law of the lattice of all tau-closed formations of finite groups is fulfilled in the lattice of all tau-closed n-multiply omega-composition formations of finite groups for every non-empty set of primes omega and every non-negative integer n. Let n >= 0 and omega be an infinite set of primes. It is proved that the lattice of all tau-closed n-multiply omega-composition formations is not distributive.

引用

页数：17

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