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- W2945463805 abstract "In 2012, Guo and Gong proved that if $G$ is a finite nonabelian group with $Phi(G)=1$, then $|G:Z(G)|<|G'||U(G)|$, in which $U(G)$ is the nilpotent residual of $G$. We show that the assumption of finiteness of the group can be omitted. Moreover, we investigate converse of Schur and Baer's theorems for groups that can be seen as generalizations of groups with trivial Frattini subgroups and state some properties of $n$-isoclinism families of these groups." @default.
- W2945463805 created "2019-05-29" @default.
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- W2945463805 date "2019-03-01" @default.
- W2945463805 modified "2023-09-23" @default.
- W2945463805 title "ON THE CONVERSE OF BAER'S THEOREM FOR GENERALIZATIONS OF GROUPS WITH TRIVIAL FRATTINI SUBGROUPS" @default.
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- W2945463805 doi "https://doi.org/10.29252/as.2019.1396" @default.
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