The paper is devoted to some properites of ramification invariants in infinite Abelian extensions of exponent p for a class of complete discrete valuation fields that includes 2-dimensional local fields of prime characteristic p. In particular, it is proved that the maximal such extension with a prescribed upper bound of ramification breaks has finite depth of ramification, and this depth is computed.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 413, 2013, pp. 106–114.
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Zhukov, I.B. Ramification in Elementary Abelian Extensions. J Math Sci 202, 404–409 (2014). https://doi.org/10.1007/s10958-014-2050-5
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DOI: https://doi.org/10.1007/s10958-014-2050-5