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### Published volumes

##### 1936-1944
On supersolvable groups whose maximal subgroups of the Sylow subgroups are subnormal
Volume 60, no. 2 (2019), pp. 315–322

### Abstract

A finite group $G$ is called an MSN$^{*}$-group if it is supersolvable, and all maximal subgroups of the Sylow subgroups of $G$ are subnormal in $G$. A group $G$ is called a minimal non-MSN$^{*}$-group if every proper subgroup of $G$ is an MSN$^{*}$-group but $G$ itself is not. In this paper, we obtain a complete classification of minimal non-MSN$^{*}$-groups.