On the probability distribution associated to commutator word map in finite groups-Reference-Cited by-同舟云学术

On the probability distribution associated to commutator word map in finite groups

Published:2015-11 Issue:07 Volume:25 Page:1107-1124
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

Nath Rajat Kanti¹,Yadav Manoj Kumar²

Affiliation:

1. Department of Mathematical Sciences, Tezpur University, Napaam 784 028, Sonitpur, Assam, India

2. School of Mathematics, Harish-Chandra Research Institute, Chhatnag Road, Jhunsi, Allahabad 211 019, India

Abstract

In this paper, we study the probability distribution associated to the commutator word map. In other words, we study the probability of a given element of a group to be equal to a commutator of two randomly chosen group elements. We compute explicit formulas for calculating this probability for some interesting classes of groups having only two different conjugacy class sizes.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196715500320

Reference30 articles.

1. On the probability of satisfying a word in a group

2. SURJECTIVITY AND EQUIDISTRIBUTION OF THE WORD xayb ON PSL(2, q) AND SL(2, q)

3. On Camina Groups of Prime Power Order

4. A Generalization of Commutativity Degree of Finite Groups

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