Geodesic
On new examples of hypocritical groups
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 305-313

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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.
Keywords: locally finite varieties, finite groups, extraspecial $ p $-groups. 
@article{SEMR_2018_15_a7,
     author = {S. V. Skresanov},
     title = {On new examples of hypocritical groups},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {305--313},
     publisher = {mathdoc},
     volume = {15},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2018_15_a7/}
}
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S. V. Skresanov. On new examples of hypocritical groups. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 305-313. http://geodesic.mathdoc.fr/item/SEMR_2018_15_a7/