Nilpotent extensions of number fields with bounded ramification

Notes on the minimal number of ramified primes in some l-extensions of Q

“…[10,Chapter 2]). Cueto-Hernández and Villa-Salvador [1] claimed that ram t (G) = d(G), but Plans [8,Remark 2.10] pointed out an error in the proof. Plans [8] also proved a better upper bound for ram t (G) (See Theorem A in the section 3 below).…”