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Published in 2019 at "Mediterranean Journal of Mathematics"
DOI: 10.1007/s00009-019-1427-6
Abstract: A subgroup H of a group G is called core-free if \({\mathbf{Core}}_{G}(H)=\bigcap \nolimits _{x\in G}H^{x}=\langle 1\rangle \). In the current article, we study the groups in which every subgroup is either normal or core-free.
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Keywords:
normal subgroups;
non normal;
structure groups;
core free ... See more keywords