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Mathematics of the USSR-Izvestiya, 1986, Volume 27, Issue 3, Pages 593–599
DOI: https://doi.org/10.1070/IM1986v027n03ABEH001202 (Mi im1403) 		 
Analytic pro-$p$-groups of rank $3$ and closed pro-$p$-groups of type $(3,4)$

I. V. Andozhskii, V. M. Tsvetkov
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DOI: https://doi.org/10.1070/IM1986v027n03ABEH001202
Abstract: It is proved that a pro-$p$-group of type $(3,4)$ that is closed (in the sense of Schur) with an elementary Abelian commutator-factor group is always finite for $p\geqslant7$. The proof uses the classification of analytic pro-$p$-groups of rank $3$.
Bibliography: 7 titles.
Received: 14.01.1983
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1985, Volume 49, Issue 6, Pages 1322–1328
Bibliographic databases:
UDC: 519.444
MSC: 20D10, 20E18
Language: English
Original paper language: Russian
Citation: I. V. Andozhskii, V. M. Tsvetkov, “Analytic pro-$p$-groups of rank $3$ and closed pro-$p$-groups of type $(3,4)$”, Izv. Akad. Nauk SSSR Ser. Mat., 49:6 (1985), 1322–1328; Math. USSR-Izv., 27:3 (1986), 593–599
Citation in format AMSBIB
\Bibitem{AndTsv85}
\by I.~V.~Andozhskii, V.~M.~Tsvetkov
\paper Analytic pro-$p$-groups of rank~$3$ and closed pro-$p$-groups of type~$(3,4)$
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1985
\vol 49
\issue 6
\pages 1322--1328
\mathnet{http://mi.mathnet.ru/im1403}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=816859}
\zmath{https://zbmath.org/?q=an:0609.20021|0591.20029}
\transl
\jour Math. USSR-Izv.
\yr 1986
\vol 27
\issue 3
\pages 593--599
\crossref{https://doi.org/10.1070/IM1986v027n03ABEH001202}
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:253
    Russian version PDF:78
    English version PDF:4
    References:46
    First page:1
     
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