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 Algebra Discrete Math.: Year: Volume: Issue: Page: Find

 Algebra Discrete Math., 2010, Volume 9, Issue 1, Pages 41–71 (Mi adm15)

SURVEY ARTICLE

On some developments in investigation of groups with prescribed properties of generalized normal subgroups

V. V. Kirichenkoa, L. A. Kurdachenkob

a Department of Mechanics and Mathematics, Kyiv National Taras Shevchenko University, Volodymyrska, 64, Kyiv, 01033, Ukraine
b Department of Algebra, School of Mathematics and Mechanics, National University of Dnepropetrovsk, Gagarin Prospect 72, Dnepropetrovsk 10, 49010, Ukraine

Abstract: The survey is dedicated to investigation of groups with prescribed properties of generalized normal subgroups. The roots of such investigations lie in the works by R. Dedekind, R. Baer, O. Yu. Schmidt, and S. N. Chernikov. The main goal of this survey is to reflect some important developments in this area.

Keywords: normal subgroups, arrangement of subgroups, fan subgroups, pronormal subgroups, abnormal subgroups, quasicental subgroups.

Full text: PDF file (349 kB)

Bibliographic databases:
MSC: 20E15, 20E34, 20F19, 20F22
Revised: 02.03.2010
Language:

Citation: V. V. Kirichenko, L. A. Kurdachenko, “On some developments in investigation of groups with prescribed properties of generalized normal subgroups”, Algebra Discrete Math., 9:1 (2010), 41–71

Citation in format AMSBIB
\Bibitem{KirKur10} \by V.~V.~Kirichenko, L.~A.~Kurdachenko \paper On some developments in investigation of groups with prescribed properties of generalized normal subgroups \jour Algebra Discrete Math. \yr 2010 \vol 9 \issue 1 \pages 41--71 \mathnet{http://mi.mathnet.ru/adm15} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=2676711} \zmath{https://zbmath.org/?q=an:1209.20027}