Proof of Hilbert-Smith Conjecture in 2D.
problem Hilbert-Smith Conjecture in 2D
method Proof in dimension two
result Proved Hilbert-Smith Conjecture in 2D
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3 results for “Montgomery-Zippin”
We give a new proof of Gromov's theorem that any finitely generated group of polynomial growth has a finite index nilpotent subgroup. Unlike the original proof, it does not rely on the Montgomery-Zippin-Yamabe structure theory of locally compact groups.
We show that isometries between open sets of Carnot groups are affine. This result generalizes a result of Hamenstadt. Our proof does not rely on her proof. In addition, we study global isometries of general homogeneous manifolds equipped with left-invariant subFinsler distances. We show that each isometry is determine…