Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 0991.20018
Asaad, M.; Mohamed, M.Ezzat
On generalized hypercenter of a finite group. (English)
[J] Commun. Algebra 29, No.5, 2239-2248 (2001). ISSN 0092-7872; ISSN 1532-4125/e

For a finite group $G$, the authors introduce the notion of generalized supersolvably embedded (GSE) normal subgroups of $G$ and they prove that the generalized hypercenter of $G$ is the product of these GSE normal subgroups. Other results, involving the generalized hypercenter and the minimal subgroups of $G$, ensure that $G$ is supersolvable or solvable.
[Marian Deaconescu (Safat)]

MSC 2000:: *20D25 Special subgroups of finite groups
20D10 Solvable finite groups
20D40 Products of subgroups of finite groups

Keywords: supersolvable groups; generalized hypercenter; Sylow towers; products of subgroups; finite solvable groups; minimal subgroups

Cited in: Zbl 1080.20017 Zbl 1070.20024

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]