Elements with r-th roots in finite groups
Group Theory
2012-06-20 v4
Abstract
The probability that a randomly chosen element of a finite group is an --th root (for any integer ) has been studied largely in case . Certain techniques may be generalized for and here we find the exact value of this probability for projective special linear groups. A result of density is placed at the end, in order to show an analogy with the case .
Cite
@article{arxiv.1008.2055,
title = {Elements with r-th roots in finite groups},
author = {Elaheh Khamseh and Mohammed Reza R. Moghaddam and Francesco G. Russo and Farshid Saeedi},
journal= {arXiv preprint arXiv:1008.2055},
year = {2012}
}
Comments
7 pages; Fundamental revisions have been done