THE EXPECTED ORDER OF A RANDOM PERMUTATION

被引:14
|
作者
GOH, WMY
SCHMUTZ, E
机构
[1] Mathematics and Computer Science Department, Drexel University, Philadelphia, PA
关键词
D O I
10.1112/blms/23.1.34
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let mu-n be the expected order of a random permutation, that is, the arithmetic mean of the orders of the elements in the symmetric group S(n). We prove that log-mu-n approximately c square-root (n/log n) as n --> infinity, where [GRAPHICS].
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页码:34 / 42
页数:9
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