Fixed sets of unitary 𝐺-manifolds

Costenoble, Steven R.; Steiner, Michael; Waner, Stefan

doi:10.1090/S0002-9939-1994-1198453-4

Fixed sets of unitary $G$-manifolds
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by Steven R. Costenoble, Michael Steiner and Stefan Waner PDF

Proc. Amer. Math. Soc. 121 (1994), 1275-1287 Request permission

Abstract:

Using K-theory characteristic numbers we generalize results of Conner and Floyd on the orders of spheres in free unitary $\mathbb {Z}/{p^s}$-bordism. These calculations imply results on the possible fixed sets in actions of $\mathbb {Z}/{p^s}$ on unitary manifolds. This in turn generalizes to abelian p-groups.

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