On the Set of the Numbers of Conjugates of Noncyclic Proper Subgroups of Finite Groups
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-3, 3 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-10-27
Country of Publication
Egypt
No. of Pages
3
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
Let G be a finite group and ??(G) the set of the numbers of conjugates of noncyclic proper subgroups of G.
We prove that (1) if |??(G)|≤2, then G is solvable, and (2) G is a nonsolvable group with |??(G)|=3 if and only if G≅PSL(2,5) or PSL(2,13) or SL(2,5) or SL(2,13).
American Psychological Association (APA)
Shi, Jiangtao& Zhang, Cui. 2013. On the Set of the Numbers of Conjugates of Noncyclic Proper Subgroups of Finite Groups. The Scientific World Journal،Vol. 2013, no. 2013, pp.1-3.
https://search.emarefa.net/detail/BIM-1012286
Modern Language Association (MLA)
Shi, Jiangtao& Zhang, Cui. On the Set of the Numbers of Conjugates of Noncyclic Proper Subgroups of Finite Groups. The Scientific World Journal No. 2013 (2013), pp.1-3.
https://search.emarefa.net/detail/BIM-1012286
American Medical Association (AMA)
Shi, Jiangtao& Zhang, Cui. On the Set of the Numbers of Conjugates of Noncyclic Proper Subgroups of Finite Groups. The Scientific World Journal. 2013. Vol. 2013, no. 2013, pp.1-3.
https://search.emarefa.net/detail/BIM-1012286
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1012286
