Commuting Probability of Finite Groups
نویسندگان
چکیده
The article aims to discuss the concept of commuting probability for finite groups, which in short, is a measure how abelian our group is. We shall compute value many special classes groups and also establish some local global bounds. will conclude with few topics further reading.
منابع مشابه
On the Commuting Probability in Finite Groups
Introduction: When G is a finite group, we may endow G×G with the structure of a probability space by assigning the uniform distribution. As was pointed out by W.H. Gustafson [10], the probability that a randomly chosen pair of elements of G commute is then k(G) |G| , where k(G) is the number of conjugacy classes of G. We denote this probability by cp(G). It was also noted in [10] that cp(G) ≤ ...
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ژورنال
عنوان ژورنال: Resonance
سال: 2023
ISSN: ['0973-712X']
DOI: https://doi.org/10.1007/s12045-023-1585-5