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<p>A construction of cyclic ferocious extensions by the Inaba equation is presented. It gives a partial answer to the question about 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.</p>

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Construction of Cyclic Ferocious Extensions by the Inaba Equation

  • 期刊论文

  • 发表日期：

    2025年2月1日

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  • O. Yu. Ivanova

摘要

A construction of cyclic ferocious extensions by the Inaba equation is presented. It gives a partial answer to the question about 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.