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.
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收藏
页数：17
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