A note on the cup product for pro-$p$ groups
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- by Tilmann Würfel
- Proc. Amer. Math. Soc. 102 (1988), 809-813
- DOI: https://doi.org/10.1090/S0002-9939-1988-0934847-4
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Abstract:
Let $G$ be a pro-$p$ group and $g \in {H^1}(G)$. We give a group-theoretic description of the kernel of the cup product —$- \cup g:{H^1}(G) \to {H^2}(G)$.References
- John P. Labute, Demuškin groups of rank $\aleph _{0}$, Bull. Soc. Math. France 94 (1966), 211–244. MR 222177, DOI 10.24033/bsmf.1640 A. Lubotzky and A. Mann, Powerful $p$-groups, preprint.
Bibliographic Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 102 (1988), 809-813
- MSC: Primary 20E18; Secondary 20J05
- DOI: https://doi.org/10.1090/S0002-9939-1988-0934847-4
- MathSciNet review: 934847