## Nonimmersion of lens spaces with 2-torsion

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- by A. J. Berrick PDF
- Trans. Amer. Math. Soc.
**224**(1976), 399-405 Request permission

## Abstract:

From a study of the equivariant unitary*K*-theory of the Stiefel manifold ${V_{k + 1,2}}({\mathbf {C}})$, it is shown that the lens space ${L^k}(n)$, with

*n*a multiple of ${2^{2k - 1 - \alpha (k - 1)}}$, does not immerse in Euclidean space of dimension $4k - 2\alpha (k) - 2$.

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## Additional Information

- © Copyright 1976 American Mathematical Society
- Journal: Trans. Amer. Math. Soc.
**224**(1976), 399-405 - MSC: Primary 57D40
- DOI: https://doi.org/10.1090/S0002-9947-1976-0420662-3
- MathSciNet review: 0420662