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Mathematics of the USSR-Sbornik, 1985, Volume 52, Issue 2, Pages 481–490
DOI: https://doi.org/10.1070/SM1985v052n02ABEH002901 (Mi sm2063) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On infinite $p$-groups with cyclic subgroups

G. S. Deryabina
English version PDF (597 kB) Citations (2) Russian version article
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DOI: https://doi.org/10.1070/SM1985v052n02ABEH002901
Abstract: For each odd prime $p$, continuum many nonisomorphic simple groups are constructed having isomorphic subgroup lattices and having the property that every proper subgroup is a cyclic $p$-group. Also constructed is a periodic group of infinite width where every proper subgroup is cyclic. The proofs are based on papers by A. Yu. Ol'shanskii.
Figures: 2.
Bibliography: 6 titles.
Received: 15.11.1982
Bibliographic databases:
UDC: 512.543
MSC: Primary 20E32, 20E07; Secondary 20F50
Language: English
Original paper language: Russian
Citation: G. S. Deryabina, “On infinite $p$-groups with cyclic subgroups”, Math. USSR-Sb., 52:2 (1985), 481–490
Citation in format AMSBIB
\Bibitem{Der84}
\by G.~S.~Deryabina
\paper On infinite $p$-groups with cyclic subgroups
\jour Math. USSR-Sb.
\yr 1985
\vol 52
\issue 2
\pages 481--490
\mathnet{http://mi.mathnet.ru//eng/sm2063}
\crossref{https://doi.org/10.1070/SM1985v052n02ABEH002901}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=754473}
\zmath{https://zbmath.org/?q=an:0578.20029|0556.20032}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:258
    Russian version PDF:95
    English version PDF:13
    References:47
     
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