Geodesic
Norm series for Honda formal groups
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 21, Tome 388 (2011), pp. 5-16 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

In the present paper, we study norm series for Honda formal groups. The Steinberg relation for the classical Hilbert symbol is generalized to Honda formal groups. We obtain necessary and sufficient conditions for a series to satisfy the generalized Steinberg relation. In the paper such series are called norm series. 
@article{ZNSL_2011_388_a0,
     author = {S. S. Afanas'eva and G. K. Pak},
     title = {Norm series for {Honda} formal groups},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {5--16},
     year = {2011},
     volume = {388},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2011_388_a0/}
}
TY  - JOUR
AU  - S. S. Afanas'eva
AU  - G. K. Pak
TI  - Norm series for Honda formal groups
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2011
SP  - 5
EP  - 16
VL  - 388
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2011_388_a0/
LA  - ru
ID  - ZNSL_2011_388_a0
ER  - 
%0 Journal Article
%A S. S. Afanas'eva
%A G. K. Pak
%T Norm series for Honda formal groups
%J Zapiski Nauchnykh Seminarov POMI
%D 2011
%P 5-16
%V 388
%U http://geodesic.mathdoc.fr/item/ZNSL_2011_388_a0/
%G ru
%F ZNSL_2011_388_a0
S. S. Afanas'eva; G. K. Pak. Norm series for Honda formal groups. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 21, Tome 388 (2011), pp. 5-16. http://geodesic.mathdoc.fr/item/ZNSL_2011_388_a0/

[1] S. V. Vostokov, I. B. Fesenko, “Ob odnom svoistve sparivaniya Gilberta”, Matem. zametki, 43:3 (1988), 393–400 | MR | Zbl

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

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

[4] O. V. Demchenko, “Novoe v otnosheniyakh formalnykh grupp Lyubina–Teita i formalnykh grupp Khondy”, Algebra i analiz, 10:5 (1998), 77–84 | MR | Zbl

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

[6] O. V. Demchenko, “Formalnye gruppy Khondy: arifmetika gruppy tochek”, Algebra i analiz, 12:1 (2000), 132–149 | MR | Zbl

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

[8] T. Honda, “On the theory of commutative formal groups”, J. Math. Soc. Japan, 22 (1970), 213–243 | DOI | MR