On subgroup functors of finite soluble groups

被引：0

作者：

BALLESTER-BOLINCHES Adolfo ^{[1
]}

COSME-LL′OPEZ Enric ^{[1
]}

KAMORNIKOV Sergey Fedorovich ^{[2
]}

机构：

[1] Departament d'`Algebra, Universitat de Val`encia

来源：

ScienceChina(Mathematics) | 2017年 / 60卷 / 03期

基金：

中国国家自然科学基金;

关键词：

finite group; soluble group; lattices of subgroups; subgroup functors; formations;

D O I：

暂无

中图分类号：

O152.1 [有限群论];

学科分类号：

摘要：

The principal aim of this paper is to study the regular and transitive subgroup functors in the universe of all finite soluble groups.We prove that they form a complemented and non-modular lattice containing two relevant sublattices.This is the answer to a question(Question 1.2.12)proposed by Skiba(1997)in the finite soluble universe.

引用

页码：439 / 448

页数：10

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