|
Algebra and Discrete Mathematics, 2009, Issue 4, Pages 185–207
(Mi adm151)
|
|
|
|
SURVEY ARTICLE
On arrangement of subgroups in groups and related topics: some recent developments
I. Ya. Subbotin Department of Mathematics and Natural Sciences, National University, 5245 Pacific Concourse Drive, Los Angeles, CA 90045–6904, USA
Abstract:
Investigation of groups satisfying certain conditions, related to the subgroup arrangement, enabled algebraists to introduce and describe many important classes of groups. The roots of such investigations lie in the works by P. Hall, R. Carter, J. Rose, and Z. Borevich. Numerous interesting results in this area have been obtained lately by many authors. The main goal of this survey is to reflect some important new developments in study of subgroup arrangement in infinite groups.
Keywords:
arrangement of subgroups, fan subgroups, pronormal subgroups, abnormal subgroups.
Received: 08.08.2009 Revised: 08.08.2009
Citation:
I. Ya. Subbotin, “On arrangement of subgroups in groups and related topics: some recent developments”, Algebra Discrete Math., 2009, no. 4, 185–207
Linking options:
https://www.mathnet.ru/eng/adm151 https://www.mathnet.ru/eng/adm/y2009/i4/p185
|
Statistics & downloads: |
Abstract page: | 123 | Full-text PDF : | 64 | First page: | 1 |
|