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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



Torsion in the bordism of oriented involutions

Author: Russell J. Rowlett
Journal: Trans. Amer. Math. Soc. 231 (1977), 541-548
MSC: Primary 57D85
Erratum: Trans. Amer. Math. Soc. 248 (1979), 221-221.
MathSciNet review: 0445521
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Abstract: In the bordism theory $ {\Omega _ \ast }(Z_2^k)$ of smooth, orientation-preserving $ Z_2^k$-actions all torsion has order two. Furthermore, the torsion classes inject in the unoriented theory $ {N_ \ast }(Z_2^k)$, and any class represented by a stationary-point free action has infinite order. In addition, a procedure is given for producing Smith constructions in some generality.

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Keywords: Orientation-preserving involution, Wall manifold, submanifold dual to a representation
Article copyright: © Copyright 1977 American Mathematical Society

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