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- W1863282264 abstract "If $m$ is a positive integer or infinity, the $m$-layer (or briefly, the layer) of a group $G$ is the subgroup $G_m$ generated by all elements of $G$ of order $m$. This notion goes back to some contributions of Ya.D. Polovickii of almost 60 years ago and is often investigated, because the presence of layers influences the group structure. If $G_m$ is finite for all $m$, $G$ is called $FL$-group (or $FO$-group). A generalization is given by $CL$-groups, that is, groups in which $G_m$ is a Chernikov group for all $m$. By working on the notion of $CL$-group instead of that of $FL$-group, we extend a recent result of Z. Zhang, describing the structure of a group which is not a $CL$-group, but whose proper subgroups are $CL$-groups." @default.
- W1863282264 created "2016-06-24" @default.
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- W1863282264 date "2010-10-19" @default.
- W1863282264 modified "2023-09-26" @default.
- W1863282264 title "On minimal non-$CL$-groups" @default.
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- W1863282264 doi "https://doi.org/10.4399/97888548602475" @default.
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