Geodesic
On some formations closed under taking wreath products
Trudy Instituta matematiki, Tome 24 (2016) no. 1, pp. 30-33.

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We construct some series of subgroup-closed saturated formations $\mathfrak{F}$ satisfying the following properties: 1) $\mathfrak{F}$ is a proper subformation of $\mathfrak{E}_\pi,$ where $\pi=\mathrm{char}(\mathfrak{F});$ 2) if $G\in\mathfrak{F},$ then there exists a prime $p$ (depending on the group $G$) such that the wreath product $C_p\wr G$ belongs to $\mathfrak{F},$ where $C_p$ is the cyclic group of order $p.$ Thus an affirmative answer is obtained to Problem 18.9 from The Kourovka Notebook. 
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S. F. Kamornikov. On some formations closed under taking wreath products. Trudy Instituta matematiki, Tome 24 (2016) no. 1, pp. 30-33. http://geodesic.mathdoc.fr/item/TIMB_2016_24_1_a3/

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