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- W1584964251 abstract "A complete two-dimensional local field $K$ of mixed characteristic with finite second residue field is considered. It is shown that the rank of the quotient $U(1)K_2^{mathrm {top}}K/T_K$, where $T_K$ is the closure of the torsion subgroup, is equal to the degree of the constant subfield of $K$ over $mathbb Q_p$. Also, a basis of this quotient is constructed in the case where there exists a standard field $L$ containing $K$ such that $L/K$ is an unramified extension." @default.
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- W1584964251 date "2009-06-01" @default.
- W1584964251 modified "2023-10-06" @default.
- W1584964251 title "The $mathbb Z_p$-rank of a topological $K$-group" @default.
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- W1584964251 doi "https://doi.org/10.1090/s1061-0022-09-01062-0" @default.
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