The image of $G$ bordism in $Z_{2}$ bordism
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- by R. Paul Beem PDF
- Proc. Amer. Math. Soc. 67 (1977), 187-188 Request permission
Abstract:
For finite cyclic groups G of even order, the image of unoriented G bordism in Z/2Z bordism and the kernel of the extension homomorphism from Z/2Z to G bordism depend only on whether or not the order of G is divisible by four. If so, then these sets are equal and are equal to the image of circle bordism in Z/2Z bordism and the kernel of extension to circle bordism. If not, then extension is a monomorphism and restriction is an epimorphism.References
- R. Paul Beem, The action of free $G$-bordism on $G$-bordism, Duke Math. J. 42 (1975), 297–305. MR 372882
- R. E. Stong, Unoriented bordism and actions of finite groups, Memoirs of the American Mathematical Society, No. 103, American Mathematical Society, Providence, R.I., 1970. MR 0273645
Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 67 (1977), 187-188
- MSC: Primary 57D85
- DOI: https://doi.org/10.1090/S0002-9939-1977-0451268-4
- MathSciNet review: 0451268