On subgroup functors of finite soluble groups

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• 作者：Adolfo Ballester-Bolinches ; Enric Cosme-Llópez…
• 关键词：finite group ; soluble group ; lattices of subgroups ; subgroup functors ; formations
• 刊名：Science China Mathematics
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：60
• 期：3
• 页码：439-448
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Applications of Mathematics;
• 出版者：Science China Press
• ISSN：1869-1862
• 卷排序：60

文摘

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.