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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Pseudofree representations and $ 2$-pseudofree actions on spheres


Authors: Erkki Laitinen and Paweł Traczyk
Journal: Proc. Amer. Math. Soc. 97 (1986), 151-157
MSC: Primary 57S17; Secondary 20C15, 57S25
MathSciNet review: 831405
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Abstract: We characterize $ 1$-pseudofree real representations of finite groups. We apply this to show that the representations at fixed points of a $ 2$-pseudofree smooth action of a finite group on a sphere of dimension $ \geqslant 5$ are topologically equivalent. Moreover with one possible exception, the sphere is $ G$-homeomorphic to a linear representation sphere.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1986-0831405-5
PII: S 0002-9939(1986)0831405-5
Article copyright: © Copyright 1986 American Mathematical Society