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

 

Fixed sets of unitary $ G$-manifolds


Authors: Steven R. Costenoble, Michael Steiner and Stefan Waner
Journal: Proc. Amer. Math. Soc. 121 (1994), 1275-1287
MSC: Primary 57R85; Secondary 57S17
MathSciNet review: 1198453
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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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DOI: http://dx.doi.org/10.1090/S0002-9939-1994-1198453-4
PII: S 0002-9939(1994)1198453-4
Article copyright: © Copyright 1994 American Mathematical Society