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Proceedings of the American Mathematical Society

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A note on the cup product for pro-$ p$ groups


Author: Tilmann Würfel
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
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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 [Enhancements On Off] (What's this?)

  • [1] John P. Labute, Demuškin groups of rank ℵ₀, Bull. Soc. Math. France 94 (1966), 211–244. MR 0222177
  • [2] A. Lubotzky and A. Mann, Powerful $ p$-groups, preprint.

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1988-0934847-4
Article copyright: © Copyright 1988 American Mathematical Society