On the limit distribution of the number of solutions of the equation $x^k=a$ in the symmetric group $S_n$

A. I. Pavlov


Abstract: The limit distribution of the number of solutions of the equation $x^k=a$ as $n\to\infty$ is investigated for a fixed integer $k\geqslant2$, where $a$ is in the symmetric group $S_n$ of degree $n$.
Bibliography: 2 titles.

UDC: 519.21

MSC: 20B30, 60C05, 60E99, 60F05

Received: 24.04.1981

 English version: Mathematics of the USSR-Sbornik, 1983, 45:2, 243–255

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