Elements with square roots in finite groups

被引：8
|
作者：
Lucido, MS
Pournaki, MR
机构：
[1] Univ Udine, Dipartimento Matemat & Informat, I-33100 Udine, Italy
[2] Inst Studies Theoret Phys & Math, Sch Math, Tehran, Iran
来源：
ALGEBRA COLLOQUIUM | 2005年 / 12卷 / 04期
关键词：
simple group of Lie type of rank 1; sporadic finite simple group; symmetric group; alternating group; generating function;
D O I：
10.1142/S1005386705000647
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the probability that a randomly chosen element in a finite group has a square root, in particular the simple groups of Lie type of rank 1, the sporadic finite simple groups and the alternating groups.
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页码：677 / 690
页数：14
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