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Adolfo Ballester-Bolinches, Enric Cosme-Llópez, Sergey Fedorovich Kamornikov
On subgroup functors of finite soluble groups.
Sci. China Math., 60(3):439–448, 2017
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.
2010 Mathematics subject classification: 20D10; 20D30
Keywords: finite group; soluble group; lattices of subgroups; subgroup functors; formations