The computation of $W_\ast (\pi , \omega ; \textbf {Z})$ for $\pi$ an abelian $2$-group
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- by David E. Gibbs PDF
- Proc. Amer. Math. Soc. 79 (1980), 355-358 Request permission
Abstract:
Let $\pi$ be a finite abelian 2-group and $\omega :\pi \to {Z_2} = \{ + 1, - 1\}$ be a nontrivial homomorphism. Under these conditions, we compute the group ${W_ \ast }(\pi ,\omega ;Z)$. We also show that ${W_2}(\pi ,\omega ;Z)$ is isomorphic to ${W_2}\left ( {\pi ,\omega ;Z\left [ {\frac {1}{2}} \right ]} \right )$.References
- J. P. Alexander, P. E. Conner, G. C. Hamrick, and J. W. Vick, Witt classes of integral representations of an abelian $p$-group, Bull. Amer. Math. Soc. 80 (1974), 1179–1182. MR 384912, DOI 10.1090/S0002-9904-1974-13665-7
- David E. Gibbs, Witt classes of integral representations of an abelian $2$-group, Proc. Amer. Math. Soc. 70 (1978), no. 2, 103–108. MR 492055, DOI 10.1090/S0002-9939-1978-0492055-1 —, Witt classes of integral representations and orientation reversing maps (submitted).
Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 79 (1980), 355-358
- MSC: Primary 10C05; Secondary 15A63
- DOI: https://doi.org/10.1090/S0002-9939-1980-0567971-1
- MathSciNet review: 567971