Matematicheskie Zametki
 RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
 General information Latest issue Forthcoming papers Archive Impact factor Subscription Guidelines for authors License agreement Submit a manuscript Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 Mat. Zametki: Year: Volume: Issue: Page: Find

 Mat. Zametki, 1972, Volume 12, Issue 3, Pages 287–293 (Mi mz9881)

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

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.

Full text: PDF file (758 kB)

English version:
Mathematical Notes, 1972, 12:3, 606–609

Bibliographic databases:

UDC: 519.4

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/mz9881} \mathscinet{http://www.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}