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Conjugacy of free finite group actions on infranilmanifolds

Published online by Cambridge University Press:  18 May 2009

Michał Sadowski
Michał Sadowski
Affiliation:
Department of Mathematics, The University Of Gdanńk80–952 Gdańsk, Wita Stwosza 57, Poland
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In this note we give the proof of the following result (previously known for homotopically trivial and free actions on infranilmanifolds [3, Theorem 5.6]).

Theorem 1. Let G be a finite group acting freely and smoothly on a closed infranilmanifold M. Assume that dim M≠3, 4. Then the action of G is topologically conjugate to an affine action.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 32 , Issue 2 , May 1990 , pp. 239 - 240
Copyright
Copyright © Glasgow Mathematical Journal Trust 1990

References

REFERENCES

1.Farrell, F. T. and Hsiang, W. C., Topological characterisation of flat and almost flat Riemannian manifolds M n (n≠ 3, 4), Amer. J. Math. 105 (1983), 641–673.CrossRefGoogle Scholar
2.Kamishima, Y., Lee, K. B. and Raymond, F., The Seifert construction and its applications to infranilmanifolds, Quart. J. Math. Oxford 34 (1983), 433–452.CrossRefGoogle Scholar
3.Lee, K. B. and Raymond, F., Geometric realisation of group extension by the Seifert construction, Contemporary Math., 333 (1984), 353–411.CrossRefGoogle Scholar