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Matematicheskie Zametki, 1972, Volume 12, Issue 3, Pages 287–293 (Mi mzm9881)  
An example of a finitely defined solvable group without the maximality condition for normal subgroups

V. N. Remeslennikov

Institute of Mathematics, Siberian Division, Academy of Sciences of the USSR
Full-text PDF (758 kB)
Abstract: There is a finitely defined solvable group which does not satisfy the maximality condition for normal subgroups. This theorem gives a negative answer to one of the questions raised by P. Hall.
Received: 25.10.1971
English version:
Mathematical Notes, 1972, Volume 12, Issue 3, Pages 606–609
DOI: https://doi.org/10.1007/BF01093995
Bibliographic databases:
Document Type: Article
UDC: 519.4
Language: Russian
Citation: V. N. Remeslennikov, “An example of a finitely defined solvable group without the maximality condition for normal subgroups”, Mat. Zametki, 12:3 (1972), 287–293; Math. Notes, 12:3 (1972), 606–609
Citation in format AMSBIB
\Bibitem{Rem72}
\by V.~N.~Remeslennikov
\paper An example of a finitely defined solvable group without the maximality condition for normal subgroups
\jour Mat. Zametki
\yr 1972
\vol 12
\issue 3
\pages 287--293
\mathnet{http://mi.mathnet.ru/mzm9881}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=320154}
\zmath{https://zbmath.org/?q=an:0247.20040}
\transl
\jour Math. Notes
\yr 1972
\vol 12
\issue 3
\pages 606--609
\crossref{https://doi.org/10.1007/BF01093995}
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