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Weakly c-normal and cs-normal subgroups of finite groups
Author
Source
Jordan Journal of Mathematics and Statistics
Issue
Vol. 1, Issue 2 (31 Dec. 2008), pp.123-132, 10 p.
Publisher
Yarmouk University Deanship of Research and Graduate Studies
Publication Date
2008-12-31
Country of Publication
Jordan
No. of Pages
10
Main Subjects
Topics
Abstract EN
A subgroup H of a finite group G is weakly c—normal subgroup of G if there exists a subnormal subgroup N of G such that G = H, and H C \ N ≤ Core G (H), where Core G [H J denotes the core of H in G, which is the largest normal subgroup of G contained in H.
If H C^N ≤ CO re G [HJ, then H is cs—normal subgroup of G, where Core G (H) denotes the higher core of H in G, which is the largest subnormal subgroup of G contained in H.
In this paper, we investigate some properties of weakly c—normal and cs—normal subgroups of finite groups, and using the weakly c—normality and cs—normality of some Sylow and maximal subgroups to determine the structure of finite groups.
American Psychological Association (APA)
Tashtush, Muhammad. 2008. Weakly c-normal and cs-normal subgroups of finite groups. Jordan Journal of Mathematics and Statistics،Vol. 1, no. 2, pp.123-132.
https://search.emarefa.net/detail/BIM-275193
Modern Language Association (MLA)
Tashtush, Muhammad. Weakly c-normal and cs-normal subgroups of finite groups. Jordan Journal of Mathematics and Statistics Vol. 1, no. 2 (Dec. 2008), pp.123-132.
https://search.emarefa.net/detail/BIM-275193
American Medical Association (AMA)
Tashtush, Muhammad. Weakly c-normal and cs-normal subgroups of finite groups. Jordan Journal of Mathematics and Statistics. 2008. Vol. 1, no. 2, pp.123-132.
https://search.emarefa.net/detail/BIM-275193
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 132
Record ID
BIM-275193