5-Class towers of cyclic quartic fields arising from quintic reflection

Abdelmalek Azizi, Yasuhiro Kishi, Daniel C. Mayer +2

Let zeta5 be a primitive fifth root of unity and d<>1 be a quadratic fundamental discriminant not divisible by 5. For the 5-dual cyclic quartic field M=Q((zeta5-zeta5^-1)*d^1/2) of…