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math.NT2023★ 3 cited
Group theoretic approach to cyclic cubic fields
Siham Aouissi, Daniel C. Mayer
Let (k1,k2,k3,k4) be a quartet of cyclic cubic number fields sharing a common conductor c=pqr divisible by exactly three prime(power)s p,q,r. For those components k of the quartet…
math.NT2023
Cyclic cubic number fields with harmonically balanced capitulation
Bill Allombert, Daniel C. Mayer
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 automo…