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- W2392419943 abstract "We study the class of finite groups $G$ satisfying $Phi (G/N)= Phi(G)N/N$ for all normal subgroups $N$ of $G$. As a consequence of our main results we extend and amplify a theorem of Doerk concerning this class from the soluble universe to all finite groups and answer in the affirmative a long-standing question of Christensen whether the class of finite groups which possess complements for each of their normal subgroups is subnormally closed." @default.
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- W2392419943 date "2017-01-01" @default.
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- W2392419943 title "On the Frattini subgroup of a finite group" @default.
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- W2392419943 doi "https://doi.org/10.1016/j.jalgebra.2016.09.010" @default.
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