Cyclic cubic number fields with harmonically balanced capitulation
Number Theory
2023-07-27 v1 Group Theory
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).
Cite
@article{arxiv.2307.13898,
title = {Cyclic cubic number fields with harmonically balanced capitulation},
author = {Bill Allombert and Daniel C. Mayer},
journal= {arXiv preprint arXiv:2307.13898},
year = {2023}
}
Comments
18 pages, 5 tables, 3 figures. arXiv admin note: text overlap with arXiv:2211.11123