Minimal normal subgroups of dinilpotent groups

Authors
Robinson, DJS Stonehewer, SE
Citation
Djs. Robinson et Se. Stonehewer, Minimal normal subgroups of dinilpotent groups, J ALGEBRA, 234(2), 2000, pp. 480-491
Citations number
18
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF ALGEBRA
ISSN journal
00218693 → ACNP
Volume
234
Issue
2
Year of publication
2000
Pages
480 - 491
Database
ISI
SICI code
0021-8693(200012)234:2<480:MNSODG>2.0.ZU;2-4
Abstract
If a finite group G is the product of two nilpotent subgroups A and B and i f N is a minimal normal subgroup of G, then AN or BN is nilpotent. This res ult is extended to several classes of infinite groups. (C) 2000 Academic Pr ess.