Expander Graphs and Amenable Quotients

  • Yehuda Shalom

Abstract

We continue the search, carried out in [Sh1], for new sets of generators for families of finite groups (such as S L2(FP)), which make the corresponding Cayley graphs an expander family. Along the way to our new result, we survey some of the recent results and methods introduced in [Sh1], based on the use of invariant means on the profinite completion of the finite groups.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media New York 1999

Authors and Affiliations

  • Yehuda Shalom
    • 1
  1. 1.Institute of MathematicsHebrew UniversityJerusalemIsrael

Personalised recommendations