Witt classes of integral representations of an abelian $2$-group
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- by David E. Gibbs PDF
- Proc. Amer. Math. Soc. 70 (1978), 103-108 Request permission
Abstract:
In this paper the Witt groups of integral representations of an abelian 2-group $\pi ,{W_0}(\pi ;Z)$ and ${W_2}(\pi ;Z)$ are calculated. Invariants are listed which completely determine ${W_0}({Z_4};Z)$ and ${W_2}({Z_4};Z)$ and can be extended to the case $\pi = {Z_{{2^k}}}$. If $\pi$ is an elementary abelian 2-group, it is shown that ${W_2}(\pi ;Z) = 0$ and ${W_0}(\pi ;Z[\tfrac {1}{2}])$ is ring isomorphic to the group ring $W(Z[\tfrac {1}{2}])({\operatorname {Hom}}(\pi ,{Z_2}))$.References
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Additional Information
- © Copyright 1978 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 70 (1978), 103-108
- MSC: Primary 57R85; Secondary 10C05, 15A63, 20C10
- DOI: https://doi.org/10.1090/S0002-9939-1978-0492055-1
- MathSciNet review: 492055