Incompressible solvable representations of surface groups
classification
🧮 math.GT
keywords
groupsimplesurfacebottleclosedcurveelementevery
read the original abstract
The fundamental group of every surface that is not the projective plane or Klein bottle has a representation to a torsion-free group of upper-triangular matrices in SL(2,R) with no simple loop (i.e. a nontrivial element representing a simple closed curve) in the kernel.
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