Cyclicity degrees of finite groups

被引：0
|
作者：
M. Tărnăuceanu
L. Tóth
机构：
[1] “Al. I. Cuza” University,Faculty of Mathematics
[2] University of Pécs,Department of Mathematics
来源：
Acta Mathematica Hungarica | 2015年 / 145卷
关键词：
primary 20D60; 20P05; secondary 20D30; 20F16; 20F18; cyclicity degree; subgroup lattice; poset of cyclic subgroups; number of subgroups;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We introduce and study the concept of cyclicity degree of a finite group G. This quantity measures the probability of a random subgroup of G to be cyclic. Explicit formulas are obtained for some particular classes of finite groups. An asymptotic formula and minimality/maximality results on cyclicity degrees are also inferred.
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页码：489 / 504
页数：15
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