On subgroups of finite index in positively finitely generated groups

被引：3

作者：

Nikolov, N ^{[1
]}

机构：

[1] Univ Oxford New Coll, Oxford OX1 3BN, England

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2005年 / 37卷

关键词：

D O I：

10.1112/S0024609305004947

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper proves that a subgroup of finite index in a positively finitely generated profinite group has maximal subgroup growth at most n(log(n)). In particular such a subgroup cannot be free, answering a question by L. Pyber.

引用

页码：873 / 877

页数：5

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