Hilbert's theorem 90 for finite nilpotent groups

Document Type : Research Paper


Department of Mathematics, University of Wisconsin Madison, WI, USA


‎In this note we prove an analog of Hilbert's theorem 90 for finite nilpotent groups‎. ‎Our version of Hilbert's theorem 90 was inspired by the Boston--Bush--Hajir (BBH) heuristics in number theory and will be useful in extending the BBH heuristics beyond quadratic field extensions‎.


Main Subjects

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Society, 2008.
[3] C. Quadrelli and T. Weigel, A group-theoretical version of Hilbert’s theorem 90, Bull. London Math. Soc., 47 (2015)