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Ramanujan Complexes of Type
Alex Lubotzky, Beth Samuels, Uzi Vishne
We define and construct Ramanujan complexes. These are simplicial complexes which are higher dimensional analogues of Ramanujan graphs. They are obtained as quotients of the buildi…
math.RT2000
Nonarithmetic superrigid groups: Counterexamples to Platonov's conjecture
Hyman Bass, Alexander Lubotzky
Margulis showed that "most" arithmetic groups are superrigid. Platonov conjectured, conversely, that finitely generated linear groups which are superrigid must be of "arithmetic ty…