Geodesic
Ramification in elementary abelian extensions
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 24, Tome 413 (2013), pp. 106-114 
I. B. Zhukov. Ramification in elementary abelian extensions. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 24, Tome 413 (2013), pp. 106-114. http://geodesic.mathdoc.fr/item/ZNSL_2013_413_a4/
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     author = {I. B. Zhukov},
     title = {Ramification in elementary abelian extensions},
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     year = {2013},
     volume = {413},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2013_413_a4/}
}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

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 prescribed upper bound of ramification breaks has finite depth of ramification, and this depth is computed.

[1] I. B. Fesenko, S. V. Vostokov, Local fields and their extensions. A constructive approach, Second edition, AMS, Providence, RI, 2002 | MR | Zbl

[2] O. Hyodo, “Wild ramification in the imperfect residue field case”, Adv. Stud. Pure Math., 12 (1987), 287–314 | MR | Zbl

[3] E. F. Lysenko, “Vetvlenie tsiklicheskogo rasshireniya stepeni $p^2$ polnogo diskretno normirovannogo polya prostoi kharakteristiki $p$ s nesovershennym polem vychetov”, Zap. nauchn. semin. POMI, 413, 2013, 153–172

[4] S. V. Vostokov, I. B. Zhukov, G. K. Pak, “Rasshireniya s pochti maksimalnoi glubinoi vetvleniya”, Zap. nauchn. semin. POMI, 265, 1999, 77–109 | MR | Zbl

[5] L. Xiao, I. Zhukov, Ramification in the imperfect residue field case, approaches and questions, http://math.usask.ca/fvk/Xiao-Zhukov.pdf