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

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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. 
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     author = {T. Hakobyan},
     title = {On the reduced group of principal units in cyclic extensions of local fields},
     journal = {Zapiski Nauchnykh Seminarov POMI},
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     volume = {455},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2017_455_a1/}
}
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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/