Geodesic
Symbols on formal groups
Izvestiya. Mathematics , Tome 19 (1982) no. 2, pp. 261-284.

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

The theory of a continuous Steinberg symbol in a local field is generalized to formal commutative groups. For Lubin–Tate groups, a universal symbol is constructed in explicit form, and it is shown that the module of values of an arbitrary symbol imbeds into the group of points of the formal group. By means of this theory of symbols a new approach is given to obtaining an explicit form for the Hilbert norm residue symbol on Lubin–Tate formal groups. Bibliography: 10 titles. 
@article{IM2_1982_19_2_a3,
     author = {S. V. Vostokov},
     title = {Symbols on formal groups},
     journal = {Izvestiya. Mathematics },
     pages = {261--284},
     publisher = {mathdoc},
     volume = {19},
     number = {2},
     year = {1982},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1982_19_2_a3/}
}
TY  - JOUR
AU  - S. V. Vostokov
TI  - Symbols on formal groups
JO  - Izvestiya. Mathematics 
PY  - 1982
SP  - 261
EP  - 284
VL  - 19
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_1982_19_2_a3/
LA  - en
ID  - IM2_1982_19_2_a3
ER  - 
%0 Journal Article
%A S. V. Vostokov
%T Symbols on formal groups
%J Izvestiya. Mathematics 
%D 1982
%P 261-284
%V 19
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_1982_19_2_a3/
%G en
%F IM2_1982_19_2_a3
S. V. Vostokov. Symbols on formal groups. Izvestiya. Mathematics , Tome 19 (1982) no. 2, pp. 261-284. http://geodesic.mathdoc.fr/item/IM2_1982_19_2_a3/

[1] Bashmakov M. I., Kirillov A. N., “Filtratsiya Lyutts formalnykh grupp”, Izv. AN SSSR. Ser. matem., 39:6 (1975), 1228–1239

[2] Vostokov S. V., “Yavnaya forma zakona vzaimnosti”, Izv. AN SSSR. Ser. matem., 42:6 (1978), 1288–1321 | MR | Zbl

[3] Vostokov S. V., “Simvol Gilberta v diskretno normirovannom pole”, Zap. nauch. seminarov Leningr. otd. Mat. in-ta AN SSSR, 94, 1979, 50–69 | MR | Zbl

[4] Vostokov S. V., “Normennoe sparivanie v formalnykh modulyakh”, Izv. AN CCCP Ser. matem., 43:4 (1979), 766–794 | MR

[5] Vostokov S. V., Letsko V. A., “Kanonicheskoe razlozhenie v gruppe tochek formalnoi gruppy Lyubina–Teita”, Zap. nauch. seminarov. Leningr. otd. Mat. in-ta AN SSSR, 103, 1980, 52–57 | MR | Zbl

[6] Kolyvagin V. A., “Formalnye gruppy i simvol normennogo vycheta”, Izv. AN SSSR. Ser. matem., 43:5 (1979), 1054–1120 | MR | Zbl

[7] Leng S., Algebra, Mir, M., 1968, 564 pp.

[8] Milnor Dzh., Vvedenie v algebraicheskuyu $K$-teoriyu, Mir, M., 1974, 196 pp. | MR | Zbl

[9] Fröhlich A., “Formal groups”, Lect. Notes Math., 74, 1968, 140 pp. | MR

[10] Lubin J., Tate J., “Formal complex multiplication in local fields”, Ann. Math., 81 (1965), 380–387 | DOI | MR | Zbl