Аннотация:
A group $ G $ is called hypocritical if whenever $ G $ lies in a
locally finite variety generated by a section closed class of groups
$ \mathfrak{X} $, then $ G $ belongs to $ \mathfrak{X} $.
We prove that some coprime extensions of a $ p $-group are hypocritical.
The first example is given when such a $ p $-group is nonabelian.
Ключевые слова:locally finite varieties, finite groups, extraspecial $ p $-groups.