A Generalization of Commutativity Degree of Finite Groups

The commutativity degree of a finite group is the probability that two arbitrarily chosen group elements commute. This notion has been generalized in a number of ways. The object of this article is to study yet another generalization of the same notion, which further extends some of the existing gen...

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Bibliographic Details
Published in:Communications in algebra 2012-06, Vol.40 (6), p.1974-1981
Main Authors: Das, Ashish Kumar, Nath, Rajat Kanti
Format: Article
Language:English
Subjects:
Commutativity degree
Finite groups
Group characters
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Summary:The commutativity degree of a finite group is the probability that two arbitrarily chosen group elements commute. This notion has been generalized in a number of ways. The object of this article is to study yet another generalization of the same notion, which further extends some of the existing generalizations.
ISSN:0092-7872
1532-4125
DOI:10.1080/00927872.2011.568993