On s-semipermu table and c-normal subgroups of finite groups
Author
Source
The Arabian Journal for Science and Engineering. Section A, Science
Issue
Vol. 34, Issue 2A (31 Jul. 2009), pp.167-175, 9 p.
Publisher
King Fahd University of Petroleum and Minerals
Publication Date
2009-07-31
Country of Publication
Saudi Arabia
No. of Pages
9
Main Subjects
Abstract AR
لتكن G زمرة محدودة و H زمرة جزئية من G.
نقول أن H s- نصف قابلة للتبديل في Gإذا كانت GpH = HGp لأي زمرة Sylow p- جزئية Gp من G تحقق 1 = (p, lHl).
تعتبر الزمرة الجزئية H c- طبيعية في G تحتوي على زمرة جزئية طبيعية T تحقق HT = G و HG ≥ H⋂T حيث HG النواة الطبيعية ل H في G.
نثبت في كل زمرة Sylow جزئية و غير دورية p من G زمرة جزئية D تحقق 1 < lDl < lPl.
سندرس تركيب G تحت فرضية أن كل زمرة جزئية H من P تحقق lDl = lHl تكون إما s- نصف قابلة للتبديل أو c- طبيعية في G> سيتم تعميم و توحيد بعض النتائج الحديثة.
Abstract EN
Suppose that G is a finite group and H is a subgroup of G.
We say that H is s- semipermutable in G if HGp = GpH for any Sylow p-subgroup Gp of G with (p, |H|) = 1 ; H is c-normal in G if G has a normal subgroup T suchth that G = HT and H ∩ T ≤ HG, where HG is the normal core of H in G.
We fix in every non-cyclic Sylow subgroup P of G some subgroup Dsatisfying 1 < |D| < |P| and study the structure of G under the assumption that every subgroup H of P with |H| = |D| is either s-semipermutable or c-normal in G.
Some recent results are generalized and unified.
American Psychological Association (APA)
Li, Yangming. 2009. On s-semipermu table and c-normal subgroups of finite groups. The Arabian Journal for Science and Engineering. Section A, Science،Vol. 34, no. 2A, pp.167-175.
https://search.emarefa.net/detail/BIM-327700
Modern Language Association (MLA)
Li, Yangming. On s-semipermu table and c-normal subgroups of finite groups. The Arabian Journal for Science and Engineering. Section A, Science Vol. 34, no. 2A (Jul. 2009), pp.167-175.
https://search.emarefa.net/detail/BIM-327700
American Medical Association (AMA)
Li, Yangming. On s-semipermu table and c-normal subgroups of finite groups. The Arabian Journal for Science and Engineering. Section A, Science. 2009. Vol. 34, no. 2A, pp.167-175.
https://search.emarefa.net/detail/BIM-327700
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 174-175
Record ID
BIM-327700