Abstract
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.
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Ballester-Bolinches, A., Cosme-Llópez, E., & Kamornikov, S. F. (2017). On subgroup functors of finite soluble groups. Science China Mathematics, 60(3), 439–448. https://doi.org/10.1007/s11425-015-0330-9
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