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Fixed points of analytic actions of supersoluble Lie groups on compact surfaces
Published online by Cambridge University Press: 28 November 2001
Abstract
We show that every real analytic action of a connected supersoluble Lie group on a compact surface with non-zero Euler characteristic has a fixed point. This implies that Lima's fixed point free C^{\infty} action on S^2 of the affine group of the line cannot be approximated by analytic actions. An example is given of an analytic, fixed point free action on S^2 of a solvable group that is not supersoluble.
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- Research Article
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- 2001 Cambridge University Press
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