Sebastião Firmo, Javier Ribón
Published 2016-03-13Version 1
A homeomorphism of the $2$-torus with Lefschetz number different from zero has a fixed point. We give a version of this result for nilpotent groups of diffeomorphisms. We prove that a nilpotent group of $2$-torus diffeomorphims has finite orbits when the group has some element with Lefschetz number different from zero.
Fixed points of nilpotent actions on ${\mathbb S}^{2}$
Fixed points of nilpotent actions on surfaces of negative Euler characteristic
A note on integrability and finite orbits for subgroups of Diff(C^n,0)
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