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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Cyclic Stickelberger cohomology and descent of Kummer extensions
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by Lindsay N. Childs PDF
Proc. Amer. Math. Soc. 90 (1984), 505-510 Request permission

Abstract:

Let $R$ be a field, $S = R[{\rm {\zeta }}]$, ${\rm {\zeta }}$ an $n$th root of unit, $\Delta = {\rm {Gal(}}S/R)$. The group of cyclic Kummer extensions of $S$ on which $\Delta$ acts, modulo those which descend to $R$, is isomorphic to a group of roots of unity and to a second group cohomology group of $\Delta$ whose definition involves a "Stickelberger element".
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Additional Information
  • © Copyright 1984 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 90 (1984), 505-510
  • MSC: Primary 12F10; Secondary 13B05
  • DOI: https://doi.org/10.1090/S0002-9939-1984-0733396-2
  • MathSciNet review: 733396