On the probability of generating prosoluble groups

被引：5

作者：

Lucchini, Andrea

Menegazzo, Federico

Morigi, Marta

机构：

[1] Univ Brescia, Dipartimento Matemat, I-25123 Brescia, Italy

[2] Univ Padua, Dipartimento Matemat Pura & Applicata, I-35131 Padua, Italy

[3] Univ Bologna, Dipartmento Matemat, I-40126 Bologna, Italy

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2006年 / 155卷 / 1期

关键词：

Isomorphism Class; Wreath Product; Soluble Group; Chief Factor; Surjective Homomorphism;

D O I：

10.1007/BF02773950

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let F be the free prosoluble group of rank d. We determine the minimum integer k such that the probability of generating F with k elements is positive.

引用

页码：93 / 115

页数：23

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