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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Kurdachenko, L.A., Pypka, A.A. & Subbotin, I.Y. On the Structure of Groups Whose Non-normal Subgroups Are Core-Free. Mediterr. J. Math. 16, 136 (2019). https://doi.org/10.1007/s00009-019-1427-6
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DOI: https://doi.org/10.1007/s00009-019-1427-6