Profinite groups with many commuting pairs or involutions

被引：0

作者：

L. Lévai

L. Pyber

机构：

[1] Alfrèd Rènyi Institute of Mathematics,

[2] Hungarian Academy of Sciences,undefined

[3] P.O.B. 127,undefined

[4] H-1364 Budapest,undefined

[5] Hungary,undefined

来源：

Archiv der Mathematik | 2000年 / 75卷

关键词：

Open Subset; Positive Measure; Haar Measure; Nonempty Open Subset; Profinite Group;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We prove that if the set of commuting pairs of a profinite group G has positive Haar measure then G is abelian by finite. Using this we show that the set I of involutions has positive measure exactly if I contains a nonempty open subset of G.

引用

页码：1 / 7

页数：6

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