BIAS OF GROUP GENERATORS IN FINITE AND PROFINITE GROUPS: KNOWN RESULTS AND OPEN PROBLEMS

被引：0

作者：

Crestani, Eleonora ^{[1
]}

Lucchini, Andrea ^{[1
]}

机构：

[1] Dipartimento Matemat, Via Trieste 63, I-35121 Padua, Italy

来源：

INTERNATIONAL JOURNAL OF GROUP THEORY | 2015年 / 4卷 / 02期

关键词：

Product replecement algorithm; profinite groups; group generators;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We analyze some properties of the distribution Q(G,k) of the first component in a k-tuple chosen uniformly in the set of all the k-tuples generating a finite group G (the limiting distribution of the product replacement algorithm). In particular, we concentrate our attention on the study of the variation distance beta(k)(G) between Q(G,k) and the uniform distribution. We review some known results, analyze several examples and propose some intriguing open questions.

引用

页码：49 / 67

页数：19