Abstract
We now deal with problems of p odd similar to those of Chapter V for p = 2. We lead off in section 43 with differentiable, orientation preserving actions of (Z p )k, p an odd prime, on closed oriented manifolds V n. The primary aim is to give existence theorems for stationary points of such actions. Our interest in such problems has been aroused by the work of Borel [6, 9], although we attack the problem from a different point of view. An example of a corollary of our results is that if V n has one of its Pontryagin numbers not divisible by p then the action has a stationary point. We go on to note that if a toral group acts on V n without stationary points then [V n] represents a torsion element of Ω n .
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© 1964 Springer-Verlag Berlin Heidelberg
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Conner, P.E., Floyd, E.E. (1964). Actions of finite abelian groups of odd prime power order. In: Differentiable Periodic Maps. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol 33. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-41633-4_10
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DOI: https://doi.org/10.1007/978-3-662-41633-4_10
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-41635-8
Online ISBN: 978-3-662-41633-4
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