Advertisement

Archiv der Mathematik

, Volume 75, Issue 1, pp 1–7 | Cite as

Profinite groups with many commuting pairs or involutions

  • L. Lévai
  • L. Pyber

Abstract.

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.

Keywords

Open Subset Positive Measure Haar Measure Nonempty Open Subset Profinite Group 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Birkhäuser Verlag, Basel 2000

Authors and Affiliations

  • L. Lévai
    • 1
  • L. Pyber
    • 1
  1. 1.Alfrèd Rènyi Institute of Mathematics, Hungarian Academy of Sciences, P.O.B. 127, H-1364 Budapest, HungaryHU

Personalised recommendations