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.

中文翻译：

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具有所有子群或模或有限秩可解的群

摘要 我们研究了非模子群可解且满足某个秩条件的局部分级群。特别地，为了表征子群是模或多环的局部分级群，我们描述了非模子群是有限生成的（广义）可溶群。