Cayley graph expanders, pro-p-groups and buildings

Alina Vdovina (U Newcastle)

Wednesday 17th February, 2010 16:00-17:00 204


We present new infinite families of expander graphs of vertex degree 4, which is the minimal possible degree for Cayley graph expanders. Our families define a tower of coverings and are given as Cayley graphs of finite 2-groups with very short presentations (two generators and four relations).

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