On ${\mathcal U}_c$-Normal Subgroups of Finite Groups-Reference-Cited by-同舟云学术

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

Published:2007-03 Issue:01 Volume:14 Page:25-36
ISSN:1005-3867
Container-title:Algebra Colloquium
language:en
Short-container-title:Algebra Colloq.

Author:

Alsheik Ahmad A. Y.¹,Jaraden J. J.²,Skiba Alexander N.³

Affiliation:

1. Department of Mathematics, Jerash Private University, Jerash, Jordan

2. Department of Mathematics and Statistics, Al-Hussein Bin Talal University, Ma'an, Jordan

3. Department of Mathematics, Gomel State University of F. Skorina, Gomel 246028, Belarus

Abstract

Let G be a finite group. We say that a subgroup H of G is [Formula: see text]-normal in G if G has a subnormal subgroup T such that TH = G and (H ∩ T)HG/HG is contained in the [Formula: see text]-hypercenter [Formula: see text] of G/HG, where [Formula: see text] is the class of the finite supersoluble groups. We study the structure of G under the assumption that some subgroups of G are [Formula: see text]-normal in G.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1005386707000041

Reference17 articles.

1. Finite groups with some C-normal minimal subgroups

2. Finite Soluble Groups

3. G-covering subgroup systems for the classes of supersoluble and nilpotent groups

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