We study locally graded groups whose non-modular subgroups are soluble and satisfy some rank condition. In particular, in order to characterize locally graded groups whose subgroups are either modular or polycyclic, we describe (generalized) soluble groups whose non-modular subgroups are finitely generated.
Groups with all subgroups either modular or soluble of finite rank / De Mari, F.. - In: JOURNAL OF ALGEBRA. - ISSN 0021-8693. - 570:(2021), pp. 416-436. [10.1016/j.jalgebra.2020.12.005]
Groups with all subgroups either modular or soluble of finite rank
De Mari F.
2021
Abstract
We study locally graded groups whose non-modular subgroups are soluble and satisfy some rank condition. In particular, in order to characterize locally graded groups whose subgroups are either modular or polycyclic, we describe (generalized) soluble groups whose non-modular subgroups are finitely generated.File in questo prodotto:
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