Some considerations on the n-th commutativity degrees of finite groups

Let G be a finite group and n a positive integer. The n-th commutativity degree P-n(G) of G is the probability that the n-th power of a random element of G commutes with another random element of G. In 1968, P. Erdos and P.Turan investigated the case n = 1, involving only methods of combinatorics. L...

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Bibliographic Details
Main Authors: Erfanian, A., Tolue, Erfanian, Sarmin, N. H.
Format: Article
Language:English
Published: Charles Babbage Res 2015
Subjects:
Online Access:http://eprints.utm.my/56039/1/AErfanian2015_SomeConsiderationsontheNthCommutativityDegressofFiniteGroups.pdf