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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Actions of finite groups on homotopy $ 3$-spheres


Author: M. E. Feighn
Journal: Trans. Amer. Math. Soc. 284 (1984), 141-151
MSC: Primary 57S17; Secondary 57S25
MathSciNet review: 742416
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Abstract: It is conjectured that the action of a finite group of diffeomorphisms of the $ 3$-sphere is equivariantly diffeomorphic to a linear action. This conjecture is verified if both of the following conditions hold: (i) Each isotropy subgroup is dihedral or cyclic. (ii) There is a point with cyclic isotropy subgroup of order not $ 1,2,3$ or $ 5$.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1984-0742416-5
PII: S 0002-9947(1984)0742416-5
Article copyright: © Copyright 1984 American Mathematical Society