Orders of topological generators of the $K$-group of a~standard two-dimensional local field
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 17, Tome 356 (2008), pp. 118-148
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We consider the topological $K$-group of a complete, weakly unramified over the constant subfield, two-dimensional local field of mixed characteristic and with finite second residue field. We estimate the orders of natural generators of this group from above and from below, and prove some relations between these orders. Bibl. – 10 titles.
@article{ZNSL_2008_356_a3,
author = {O. Yu. Ivanova},
title = {Orders of topological generators of the $K$-group of a~standard two-dimensional local field},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {118--148},
publisher = {mathdoc},
volume = {356},
year = {2008},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2008_356_a3/}
}
TY - JOUR AU - O. Yu. Ivanova TI - Orders of topological generators of the $K$-group of a~standard two-dimensional local field JO - Zapiski Nauchnykh Seminarov POMI PY - 2008 SP - 118 EP - 148 VL - 356 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZNSL_2008_356_a3/ LA - ru ID - ZNSL_2008_356_a3 ER -
O. Yu. Ivanova. Orders of topological generators of the $K$-group of a~standard two-dimensional local field. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 17, Tome 356 (2008), pp. 118-148. http://geodesic.mathdoc.fr/item/ZNSL_2008_356_a3/