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Matematicheskie Zametki, 1973, Volume 13, Issue 1, Pages 103–106 (Mi mzm7109)  
Examples of locally finite groups

A. A. Shafiro

Krasnoyarsk Polytechnic Institute
Full-text PDF (340 kB)
Abstract: In this paper we construct examples of nonextremal locally finite groups for which every finite unsolvable subgroup is not embedded in any proper infinite subgroup. We also give an example of a locally finite simple group, any proper infinite subgroup of which is bigrade solvable.
Received: 09.11.1971
English version:
Mathematical Notes, 1973, Volume 13, Issue 1, Pages 61–63
DOI: https://doi.org/10.1007/BF01093631
Bibliographic databases:
UDC: 519.4
Language: Russian
Citation: A. A. Shafiro, “Examples of locally finite groups”, Mat. Zametki, 13:1 (1973), 103–106; Math. Notes, 13:1 (1973), 61–63
Citation in format AMSBIB
\Bibitem{Sha73}
\by A.~A.~Shafiro
\paper Examples of locally finite groups
\jour Mat. Zametki
\yr 1973
\vol 13
\issue 1
\pages 103--106
\mathnet{http://mi.mathnet.ru/mzm7109}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=320148}
\zmath{https://zbmath.org/?q=an:0263.20019}
\transl
\jour Math. Notes
\yr 1973
\vol 13
\issue 1
\pages 61--63
\crossref{https://doi.org/10.1007/BF01093631}
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