Geodesic
On the reduced group of principal units in cyclic extensions of local fields
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 31, Tome 455 (2017), pp. 14-24 
T. Hakobyan. On the reduced group of principal units in cyclic extensions of local fields. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 31, Tome 455 (2017), pp. 14-24. http://geodesic.mathdoc.fr/item/ZNSL_2017_455_a1/
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

In this paper, the structure of reduced group of main units of cyclic extensions of local fields as a Galois module is studied by examining the Jordan canonical form of the generating automorphism of Galois group.

[1] D. K. Faddeev, “On the structure of the reduced multiplicative group of a cyclic extension of a local field”, Izv. Akad. Nauk SSSR Ser. Mat., 24:2 (1960), 145–152 | MR | Zbl

[2] J. Neukirch, Algebraic number theory, Springer, 1999 | MR | Zbl

[3] K. Iwasawa, Local class field theory, Oxford University Press, 1986 | MR | Zbl

[4] H. Hasse, Number theory, Springer, 1980 | MR | Zbl