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Sib. Èlektron. Mat. Izv., 2018, Volume 15, Pages 305–313 (Mi semr918)  

Mathematical logic, algebra and number theory

On new examples of hypocritical groups

S. V. Skresanov

Novosibirsk State University, ul. Pirogova, 2, 630090, Novosibirsk, Russia

Abstract: 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.

Funding Agency Grant Number
Russian Science Foundation 14-21-00065
The work is supported by Russian Science Foundation (project 14-21-00065).


DOI: https://doi.org/10.17377/semi.2018.15.027

Full text: PDF file (144 kB)
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Document Type: Article
UDC: 512.542, 512.544.5
MSC: 20D99, 20F50
Received January 1, 2017, published March 21, 2018
Language: English

Citation: S. V. Skresanov, “On new examples of hypocritical groups”, Sib. Èlektron. Mat. Izv., 15 (2018), 305–313

Citation in format AMSBIB
\Bibitem{Skr18}
\by S.~V.~Skresanov
\paper On new examples of hypocritical groups
\jour Sib. \`Elektron. Mat. Izv.
\yr 2018
\vol 15
\pages 305--313
\mathnet{http://mi.mathnet.ru/semr918}
\crossref{https://doi.org/10.17377/semi.2018.15.027}


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