Geodesic
Canonical basis of Hensel–Shafarevich in complete discrete valuation fields
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 22, Tome 394 (2011), pp. 174-193 Cet article a éte moissonné depuis la source Math-Net.Ru

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Starting with Hensel's generating set of principal units, we construct a base of the module of principal units, in the multiplicative group of a complete descrete valuation field with the residue field of prime characteristic we prove the uniqueness of the above base, and as a corollary, the uniqueness of the canonical Shafarevich base. 
@article{ZNSL_2011_394_a4,
     author = {S. V. Vostokov},
     title = {Canonical basis of {Hensel{\textendash}Shafarevich} in complete discrete valuation fields},
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     year = {2011},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2011_394_a4/}
}
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S. V. Vostokov. Canonical basis of Hensel–Shafarevich in complete discrete valuation fields. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 22, Tome 394 (2011), pp. 174-193. http://geodesic.mathdoc.fr/item/ZNSL_2011_394_a4/

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