Norm series for multi-dimensional Honda formal groups
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 23, Tome 400 (2012), pp. 5-19 Cet article a éte moissonné depuis la source Math-Net.Ru

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In the present paper we study norm series for multi-dimensional Honda formal groups. We consider the norm series satisfying the generalized Steinberg relation with respect to the norm residue symbol for Honda groups over multi-dimensional local fields. The necessary and sufficient conditions for the norm series are obtained.
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     title = {Norm series for multi-dimensional {Honda} formal groups},
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S. S. Afanas'eva. Norm series for multi-dimensional Honda formal groups. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 23, Tome 400 (2012), pp. 5-19. http://geodesic.mathdoc.fr/item/ZNSL_2012_400_a0/

[1] S. V. Vostokov, R. Perlis, “Normennye ryady dlya formalnykh grupp Lyubina–Teita”, Zap. nauchn. semin. POMI, 281, 2001, 105–127 | MR | Zbl

[2] S. S. Afanaseva, G. K. Pak, “Normennye ryady dlya formalnykh grupp Khondy”, Zap. nauchn. semin. POMI, 388, 2011, 5–16 | MR

[3] S. V. Vostokov, G. K. Pak, “Normennye ryady v mnogomernom lokalnom pole”, Zap. nauchn. semin. POMI, 305, 2003, 60–83 | MR | Zbl

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

[5] M. V. Bondarko, S. V. Vostokov, F. Lorents, “Sparivanie Gilberta dlya formalnykh grupp nad $\sigma$-koltsami”, Zap. nauchn. sem. POMI, 319, 2004, 5–58 | MR | Zbl

[6] S. V. Vostokov, O. V. Demchenko, “Yavnaya formula sparivaniya Gilberta dlya formalnykh grupp Khondy”, Zap. nauchn. semin. POMI, 272, 2000, 86–128 | MR | Zbl