Geodesic
Homological characterisation of torsion modules
Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 4, pp. 1059-1067 Cet article a éte moissonné depuis la source Math-Net.Ru

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An approach to homological description of torsion modules over group rings is proposed. As example of this approach the authors find a set of parameters completely defining the structure of some Galois modules of a local field (completed multiplicative group, group of principal units). 
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A. A. Yakovleva; A. V. Yakovlev. Homological characterisation of torsion modules. Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 4, pp. 1059-1067. http://geodesic.mathdoc.fr/item/FPM_1995_1_4_a14/

[1] Z. I. Borevich, D. K. Faddeev, “Teoriya gomologii v gruppakh. II. O proektivnykh rezolventakh konechnykh grupp”, Vestn. Len. univ., 7 (1959), 72–87 | Zbl

[2] Z. I. Borevich, “O multiplikativnoi gruppe tsiklicheskikh $p$-rasshirenii lokalnogo polya”, Tr. Matem. inst. AN SSSR, 80, 1965, 16–29 | Zbl

[3] Z. I. Borevich, “O gruppe glavnykh edinits normalnogo $p$-rasshireniya regulyarnogo lokalnogo polya”, Tr. Matem. inst. AN SSSR, 80, 1965, 30–44 | Zbl

[4] H. Cartan, S. Eilenberg, Homological Algebra, Princeton, 1956 | MR

[5] J. Tate, “Higher dimensional cohomology groups of class field theory”, Ann. Math., 56 (1952), 294–297 | DOI | MR | Zbl

[6] A. V. Yakovlev, “Zadacha pogruzheniya polei”, Izv. AN SSSR. Ser. mat., 28 (1964), 645–660 | Zbl

[7] A. V. Yakovlev, “Gomologicheskaya opredelennost $p$-adicheskikh predstavlenii kolets so stepennym bazisom”, Izv. AN SSSR. Ser. mat., 34:5 (1970), 1000–1014 | Zbl