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Algebra i logika, 2001, Volume 40, Number 1, Pages 83–96 (Mi al210)  
This article is cited in 10 scientific papers (total in 10 papers)

Finite 2-Groups with Automorphisms of Order 4

N. Yu. Makarenko

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (1682 kB) Citations (10)
Abstract: It is proved that if a locally finite or locally nilpotent 2-group $G$ admits an automorphism $\varphi$ of order 4 with finitely many fixed points $m$ then $G$ possesses a normal subgroup $H$ of $m$-bounded index such that the second derived subgroup of $H$ is contained in its center.
Keywords: locally finite $2$-group, locally nilpotent $2$-group, automorphism of order 4 with finitely many fixed points, normal subgroup, derived subgroup, center.
Received: 28.06.1999
English version:
Algebra and Logic, 2001, Volume 40, Issue 1, Pages 47–54
DOI: https://doi.org/10.1023/A:1002854206160
Bibliographic databases:
UDC: 512.5
Language: Russian
Citation: N. Yu. Makarenko, “Finite 2-Groups with Automorphisms of Order 4”, Algebra Logika, 40:1 (2001), 83–96; Algebra and Logic, 40:1 (2001), 47–54
Citation in format AMSBIB
\Bibitem{Mak01}
\by N.~Yu.~Makarenko
\paper Finite 2-Groups with Automorphisms of Order~4
\jour Algebra Logika
\yr 2001
\vol 40
\issue 1
\pages 83--96
\mathnet{http://mi.mathnet.ru/al210}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1853350}
\zmath{https://zbmath.org/?q=an:0979.20023}
\transl
\jour Algebra and Logic
\yr 2001
\vol 40
\issue 1
\pages 47--54
\crossref{https://doi.org/10.1023/A:1002854206160}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0037581658}
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и логика Algebra and Logic
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    Full-text PDF :93
    References:1
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