V. V. Kirichenko, L. A. Kurdachenko, “On some developments in investigation of groups with prescribed properties of generalized normal subgroups”, Algebra Discrete Math., 2010, том 9, выпуск 1,страницы 41

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SURVEY ARTICLE

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

V. V. Kirichenko^a, L. A. Kurdachenko^b

^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

Аннотация: 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.

Ключевые слова: normal subgroups, arrangement of subgroups, fan subgroups, pronormal subgroups, abnormal subgroups, quasicental subgroups.

MSC: 20E15, 20E34, 20F19, 20F22

Поступила в редакцию: 05.02.2010
Исправленный вариант: 02.03.2010

Язык публикации: английский