Elaheh Khamseh, Mohammed Reza R. Moghaddam, Francesco G. Russo, Farshid Saeedi
Published 2010-08-12, updated 2012-06-19Version 4
The probability that a randomly chosen element of a finite group is an $r$--th root (for any integer $r\geq2$) has been studied largely in case $r=2$. Certain techniques may be generalized for $r>2$ 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 $r=2$.
Comments: 7 pages; Fundamental revisions have been done
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