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USA 1984

The proof of this is in fact almost entirely geometric, and procceeds by showing that if the center has is infinite, then using the fact that it is unbounded in the cayley graph, we can produce an infinite cyclic group which is quasi-isometric to the entire group, and hence must be of finite index, so we get that a hyperbolic group with infinite center is virtually cyclic.

Noncommutative rings are more interesting than commutative rings

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