A Characterization of 4-Centralizer Groups
Author
Source
Chinese Journal of Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-2, 2 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-26
Country of Publication
Egypt
No. of Pages
2
Main Subjects
Abstract EN
A finite or infinite group is called an n-centralizer group if it has n numbers of distinct centralizers.
In this paper, we prove that a finite or infinite group G is a 4-centralizer group if and only if G/Z(G) is isomorphic to C2×C2.
This extends a result of Belcastro and Sherman.
American Psychological Association (APA)
Dutta, Jutirekha. 2013. A Characterization of 4-Centralizer Groups. Chinese Journal of Mathematics،Vol. 2013, no. 2013, pp.1-2.
https://search.emarefa.net/detail/BIM-504982
Modern Language Association (MLA)
Dutta, Jutirekha. A Characterization of 4-Centralizer Groups. Chinese Journal of Mathematics No. 2013 (2013), pp.1-2.
https://search.emarefa.net/detail/BIM-504982
American Medical Association (AMA)
Dutta, Jutirekha. A Characterization of 4-Centralizer Groups. Chinese Journal of Mathematics. 2013. Vol. 2013, no. 2013, pp.1-2.
https://search.emarefa.net/detail/BIM-504982
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-504982