Сonstruction for cyclic ferocious extensions of the Inaba equation

We present a construction of cyclic ferocious extensions by Inaba equation. This gives a partial answer to the question on construction of cyclic extensions with small ramification depth. The construction is based on a method similar to that used by I. B. Zhukov and E. F. Lysenko (2017), and gives a tower of simple extensions with suitable ramification jumps.