Hyperbolic surface groups act properly on finite products of locally finite trees, supported by evidence and an explicit embedding of the genus-2 case into SL_2(F_p(x,y)).
Groups St Andrews 2017 in Birmingham, 16–69, London Math
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Groups acting on products of locally finite trees
Hyperbolic surface groups act properly on finite products of locally finite trees, supported by evidence and an explicit embedding of the genus-2 case into SL_2(F_p(x,y)).