Groups with all subgroups either modular or soluble of finite rank
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Algebra"
DOI: 10.1016/j.jalgebra.2020.12.005
Abstract: 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)… read more here.
Keywords: modular soluble; groups subgroups; subgroups either; groups whose ... See more keywords
ON GROUPS WHOSE SUBGROUPS ARE EITHER MODULAR OR CONTRANORMAL
Sign Up to like & getrecommendations! Published in 2021 at "Bulletin of the Australian Mathematical Society"
DOI: 10.1017/s0004972721000447
Abstract: Abstract A subgroup H of a group G is said to be contranormal in G if the normal closure of H in G is equal to G. In this paper, we consider groups whose nonmodular… read more here.
Keywords: groups whose; contranormal; either modular; modular contranormal ... See more keywords