Erfanian, A. and Tolue, Erfanian and Sarmin, N. H. (2015) Some considerations on the nth commutativity degrees of finite groups. ARS Combinatoria, 122 . pp. 257267. ISSN 03817032

PDF (Abstract)
87kB 
Abstract
Let G be a finite group and n a positive integer. The nth commutativity degree Pn(G) of G is the probability that the nth 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. Later several authors improved their studies and there is a growing literature on the topic in the last 10 years. We introduce the relative nth commutativity degree Pn(H, G) of a subgroup H of G. This is the probability that an nth power of a random element in H commutes with an element in G. The influence of P, (G) and Pn (H, G) on the structure of G is the purpose of the present work.
Item Type:  Article 

Uncontrolled Keywords:  commutativity degree, nth nilpotency degree 
Subjects:  Q Science > QA Mathematics 
Divisions:  Science 
ID Code:  56039 
Deposited By:  Muhamad Idham Sulong 
Deposited On:  15 Nov 2016 07:09 
Last Modified:  15 Nov 2016 07:09 
Repository Staff Only: item control page