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On the Structure of Groups Whose Non-normal Subgroups Are Core-Free

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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… Click to show full 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.

Keywords: normal subgroups; non normal; structure groups; core free; groups whose; whose non

Journal Title: Mediterranean Journal of Mathematics
Year Published: 2019

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