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
收藏
页码：439 / 448
页数：10
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