|
Algebra and Discrete Mathematics, 2010, Volume 9, Issue 1, Pages 41–71
(Mi adm15)
|
|
|
|
This article is cited in 1 scientific paper (total in 1 paper)
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.
Received: 05.02.2010 Revised: 02.03.2010
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
Linking options:
https://www.mathnet.ru/eng/adm15 https://www.mathnet.ru/eng/adm/v9/i1/p41
|
Statistics & downloads: |
Abstract page: | 353 | Full-text PDF : | 134 | First page: | 1 |
|