Geodesic
On $p$-extensions of fields of characteristic $p$
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 8, Tome 281 (2001), pp. 274-279 Cet article a éte moissonné depuis la source Math-Net.Ru

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It is proved that a $p$-extension of a field of characteristic $p$ is completely defined by its Galois group and the endomorphism of the additive group of the group algebra, which corresponds to the raising in the power $p$. 
@article{ZNSL_2001_281_a14,
     author = {A. V. Yakovlev},
     title = {On $p$-extensions of fields of characteristic~$p$},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {274--279},
     year = {2001},
     volume = {281},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2001_281_a14/}
}
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A. V. Yakovlev. On $p$-extensions of fields of characteristic $p$. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 8, Tome 281 (2001), pp. 274-279. http://geodesic.mathdoc.fr/item/ZNSL_2001_281_a14/