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：
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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.
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页码：1 / 7
页数：6
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