A Note on the Normal Index and the c-Section of Maximal Subgroups of a Finite Group
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-4, 4 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-22
Country of Publication
Egypt
No. of Pages
4
Main Subjects
Abstract EN
Let M be a maximal subgroup of finite group G.
For each chief factor H/K of G such that K≤M and G=MH, we called the order of H/K the normal index of M and M∩H/K a section of M in G.
Using the concepts of normal index and c-section, we obtain some new characterizations of p-solvable, 2-supersolvable, and p-nilpotent.
American Psychological Association (APA)
Tang, Na& Li, Xianhua. 2014. A Note on the Normal Index and the c-Section of Maximal Subgroups of a Finite Group. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-4.
https://search.emarefa.net/detail/BIM-508347
Modern Language Association (MLA)
Tang, Na& Li, Xianhua. A Note on the Normal Index and the c-Section of Maximal Subgroups of a Finite Group. Journal of Applied Mathematics No. 2014 (2014), pp.1-4.
https://search.emarefa.net/detail/BIM-508347
American Medical Association (AMA)
Tang, Na& Li, Xianhua. A Note on the Normal Index and the c-Section of Maximal Subgroups of a Finite Group. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-4.
https://search.emarefa.net/detail/BIM-508347
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-508347