Theoretical Researches about u-Maximal Subgroups and Its Applications in Charactering IntuG
Joint Authors
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-09-16
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
Let G be a finite group and u be the class of all finite supersoluble groups.
A supersoluble subgroup U of G is called u-maximal in G if for any supersoluble subgroup V of G containing U, V=U.
Moreover, IntuG is the intersection of all u-maximal subgroups of G.
This paper obtains some new criteria on IntuG, by assuming that some subgroups of G are either Φ-I-supplemented or Φ-I-embedded in G.
Here, a subgroup H of G is called Φ-I-supplemented in G if there exists a subnormal subgroup T of G such that G=HT and H∩THG/HG≤ΦH/HGIntuG and Φ-I-embedded in G if there exists a S-quasinormal subgroup T of G such that HT is S-quasinormal in G and H∩THG/HG≤ΦH/HGIntuG.
American Psychological Association (APA)
Zhang, Li& Cai, Zheng-Qun. 2019. Theoretical Researches about u-Maximal Subgroups and Its Applications in Charactering IntuG. Journal of Chemistry،Vol. 2019, no. 2019, pp.1-6.
https://search.emarefa.net/detail/BIM-1171867
Modern Language Association (MLA)
Zhang, Li& Cai, Zheng-Qun. Theoretical Researches about u-Maximal Subgroups and Its Applications in Charactering IntuG. Journal of Chemistry No. 2019 (2019), pp.1-6.
https://search.emarefa.net/detail/BIM-1171867
American Medical Association (AMA)
Zhang, Li& Cai, Zheng-Qun. Theoretical Researches about u-Maximal Subgroups and Its Applications in Charactering IntuG. Journal of Chemistry. 2019. Vol. 2019, no. 2019, pp.1-6.
https://search.emarefa.net/detail/BIM-1171867
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1171867