Actions of finite groups on homotopy 3-spheres

Feighn, M. E.

doi:10.1090/S0002-9947-1984-0742416-5

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
DOI: https://doi.org/10.1090/S0002-9947-1984-0742416-5
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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