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Preprints, Working Papers, ... (Preprint) Year : 2023

Cyclic cubic number fields with harmonically balanced capitulation

Abstract

It is proved that c = 689347 = 31*37*601 is the smallest conductor of a cyclic cubic number field K whose maximal unramified pro-3-extension E = F(3,infinity,K) possesses an automorphism group G = Gal(E/K) of order 6561 with coinciding relation and generator rank d2(G) = d1(G) = 3 and harmonically balanced transfer kernels kappa(G) in S(13).

Dates and versions

hal-04324884 , version 1 (05-12-2023)

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Bill Allombert, Daniel C. Mayer. Cyclic cubic number fields with harmonically balanced capitulation. 2023. ⟨hal-04324884⟩
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