Torsion in the bordism of oriented involutions

Rowlett, Russell J.

doi:10.1090/S0002-9947-1977-0445521-2

Torsion in the bordism of oriented involutions

Author: Russell J. Rowlett
Journal: Trans. Amer. Math. Soc. 231 (1977), 541-548
MSC: Primary 57D85
DOI: https://doi.org/10.1090/S0002-9947-1977-0445521-2
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 -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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