Iranian Mathematical Society Journal of the Iranian Mathematical Society 2717-1612 3 2 2022 07 01 Minimal generating sequences of F-subgroups 49 60 163591 10.30504/jims.2022.367761.1079 EN A. Lucchini Department of Mathematics, Tullio Levi Civita, University of Padova, Italy. 0000-0002-2134-4991 Journal Article 2022 10 30 The behaviour of generating sets of finite groups has been widely studied, from several points of view. The purpose of this note is to investigate what happens when, instead of sets of elements generating a group, sets of subgroups belonging to a prescribed family are considered. Some known results on generating set can be extended and generalized, using similar arguments and techniques, but interesting open questions also arise. Groups subgroups generating sets https://jims.ims.ir/article_163591_21ec2d6d025874bef0fc3edac90be261.pdf