Geodesic
A NOTE ON NILPOTENT-BY-ČERNIKOV GROUPS
Glasgow mathematical journal, Tome 46 (2004) no. 2, pp. 211-215

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DOI

In this note we prove that a locally graded group $G$ in which all proper subgroups are (nilpotent of class not exceeding $n$)-by-Černikov, is itself (nilpotent of class not exceeding $n$)-by-Černikov.As a preparatory result that is used for the proof of the former statement in the case of a periodic group, we also prove that a group $G$, containing a nilpotent of class $n$ subgroup of finite index, also contains a characteristic subgroup of finite index that is nilpotent of class not exceeding $n$.
DOI : 10.1017/S0017089504001703
Mots-clés : Primary 20F19, Secondary 20F22 
BRUNO, BRUNELLA; NAPOLITANI, FRANCO. A NOTE ON NILPOTENT-BY-ČERNIKOV GROUPS. Glasgow mathematical journal, Tome 46 (2004) no. 2, pp. 211-215. doi: 10.1017/S0017089504001703
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