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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2007, Volume 4, Pages 155–168 (Mi semr152)  
This article is cited in 5 scientific papers (total in 5 papers)

Research papers

On finite $3$-generated $2$-groups of Alperin

B. M. Veretennikov

Ural State Technical University
Full-text PDF (718 kB) Citations (5)
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Abstract: We prove a theorem about the structure of the commutant of a finite $2$-group in which every $2$-generated subgroup has a cyclic commutant and the group itself is generated by $3$ involutions. Also we construct two infinite series of such groups with the second commutant of order $2$ and $4$.
Received March 28, 2007, published May 8, 2007
Bibliographic databases:
Document Type: Article
UDC: 512.54
MSC: 20D15
Language: Russian
Citation: B. M. Veretennikov, “On finite $3$-generated $2$-groups of Alperin”, Sib. Èlektron. Mat. Izv., 4 (2007), 155–168
Citation in format AMSBIB
\Bibitem{Ver07}
\by B.~M.~Veretennikov
\paper On finite $3$-generated $2$-groups of Alperin
\jour Sib. \`Elektron. Mat. Izv.
\yr 2007
\vol 4
\pages 155--168
\mathnet{http://mi.mathnet.ru/semr152}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2465422}
\zmath{https://zbmath.org/?q=an:1134.20018}
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    • This publication is cited in the following 5 articles:
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