Emerging Applications of Number Theory pp 571-581
Expander Graphs and Amenable Quotients
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.
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