Finite Groups with Some SE-Supplemented Subgroups
Joint Authors
Ma, Xuanlong
Wei, Huaquan
Xia, Jiayi
Yang, Liying
Zhong, Guo
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-18
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
Let H be a subgroup of a finite group G, p a prime dividing the order of G, and P a Sylow p-subgroup of G for prime p.
We say that H is SE-supplemented in G if there is a subgroup K of G such that G=HK and H∩K≤HseG, where HseG denotes the subgroup of H generated by all those subgroups of H which are S-quasinormally embedded in G.
In this paper, we characterize p-nilpotency and supersolvability of G under the assumption that all maximal subgroups of P are SE-supplemented in NG(P).
American Psychological Association (APA)
Zhong, Guo& Yang, Liying& Wei, Huaquan& Ma, Xuanlong& Xia, Jiayi. 2013. Finite Groups with Some SE-Supplemented Subgroups. Algebra،Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-450074
Modern Language Association (MLA)
Zhong, Guo…[et al.]. Finite Groups with Some SE-Supplemented Subgroups. Algebra No. 2013 (2013), pp.1-5.
https://search.emarefa.net/detail/BIM-450074
American Medical Association (AMA)
Zhong, Guo& Yang, Liying& Wei, Huaquan& Ma, Xuanlong& Xia, Jiayi. Finite Groups with Some SE-Supplemented Subgroups. Algebra. 2013. Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-450074
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-450074