Geodesic
Independent generators of the $K$-group of a~standard $2$-dimensional field
Algebra i analiz, Tome 26 (2014) no. 4, pp. 93-128.

Voir la notice de l'article provenant de la source Math-Net.Ru

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O. Yu. Ivanova. Independent generators of the $K$-group of a~standard $2$-dimensional field. Algebra i analiz, Tome 26 (2014) no. 4, pp. 93-128. http://geodesic.mathdoc.fr/item/AA_2014_26_4_a2/

[1] Vostokov S. V., “Yavnaya konstruktsiya teorii polei klassov mnogomernogo lokalnogo polya”, Izv. AN SSSR. Ser. mat., 49:2 (1985), 283–308 | MR | Zbl

[2] Zhukov I. B., “Milnorovskie i topologicheskie $K$-gruppy mnogomernykh polnykh polei”, Algebra i analiz, 9:1 (1997), 98–147 | MR | Zbl

[3] Ivanova O. Yu., “Poryadki topologicheskikh obrazuyuschikh $K$-gruppy standartnogo dvumernogo lokalnogo polya”, Zap. nauch. semin. POMI, 356, 2008, 118–148 | MR | Zbl

[4] Fesenko I. B., “Teoriya lokalnykh polei. Teoriya polei klassov. Mnogomernaya lokalnaya teoriya polei klassov”, Algebra i analiz, 4:3 (1992), 1–41 | MR | Zbl

[5] Fesenko I. B., Vostokov S. V., Local fields and their extensions. A constructive approach, Transl. Math. Monogr., 121, Amer. Math. Soc., Providence, RI, 1993 | MR | Zbl

[6] Fesenko I., “Topologocal Milnor $K$-groups of higher local fields”, Invitation to Higher Local Fields (Munster, 1999), Geom. Topol. Monogr., 3, Geom. Topol. Publ., Coventry, 2000, 61–74 | DOI | MR | Zbl

[7] Miki H., “On $\mathbb Z_p$-extensions of complete $p$-adic power series fields and function fields”, J. Fac. Sci. Univ. Tokyo Sect. 1A Math., 21 (1974), 377–393 | MR | Zbl

[8] Suslin A. A., “Torsion in $K_2$ of fields”, $K$-theory, 1:1 (1987), 5–29 | DOI | MR | Zbl