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
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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.
@article{ZNSL_2013_413_a4,
author = {I. B. Zhukov},
title = {Ramification in elementary abelian extensions},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {106--114},
publisher = {mathdoc},
volume = {413},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2013_413_a4/}
}
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/