Expansion properties of linear groups
Seminar Room 1, Newton Institute
AbstractStarting with finitely many matrices S in GL(n,Q), we will discuss when the Cayley graphs of congruence quotients of the group generated by S modulo a sequence of integers can form a family of expanders. Then we will focus on the case of powers of primes and show that such a property is dictated by the Zariski-topology.
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