On ${\mathcal U}_c$-Normal Subgroups of Finite Groups

DOI10.1142/S1005386707000041zbMath1126.20012MaRDI QIDQ3426813

Jehad Jumah Jaraden, A. Y. Alsheik Ahmad, Alexander N. Skiba

Publication date: 13 March 2007

Published in: Algebra Colloquium (Search for Journal in Brave)

Full work available at URL: http://www.worldscinet.com/ac/14/1401/S1005386707000041.html

zbMATH Keywords

finite groupsmaximal subgroupsSylow subgroupssubnormal subgroupssaturated formationschief factorssupersoluble groups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Series and lattices of subgroups (20D30) Products of subgroups of abstract finite groups (20D40)

Related Items

On Φ-Π-property of subgroups of finite groups ⋮ On \(\mathfrak F_h\)-normal subgroups of finite groups. ⋮ On $\Pi$-property of some maximal subgroups of Sylow subgroups of finite groups ⋮ On \(\Pi\)-property and \(\Pi\)-normality of subgroups of finite groups. II. ⋮ On finite groups with some primary subgroups satisfying partialS-Π-property ⋮ On \(\Pi\)-property and \(\Pi\)-normality of subgroups of finite groups. ⋮ On $\mathfrak{F}_n$-SUPPLEMENTED SUBGROUPS OF FINITE GROUPS ⋮ Finite groups with some \(\mathfrak F\)-supplemented subgroups. II. ⋮ Finite groups with generalized Ore supplement conditions for primary subgroups.

Cites Work

• Unnamed Item
• Produkte nilpotenter Gruppen
• Two sufficient conditions for supersolvability of finite groups
• Influence of normality on maximal subgroups of Sylow subgroups of a finite group
• \(G\)-covering subgroup systems for the classes of supersoluble and nilpotent groups.
• Finite groups with some \(c\)-normal minimal subgroups
• \(C\)-normality of groups and its properties
• WEAKLY c-NORMAL SUBGROUPS OF FINITE GROUPS AND THEIR PROPERTIES