Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 8, Tome 281 (2001), pp. 274-279
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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/
@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/}
}
TY - JOUR
AU - A. V. Yakovlev
TI - On $p$-extensions of fields of characteristic $p$
JO - Zapiski Nauchnykh Seminarov POMI
PY - 2001
SP - 274
EP - 279
VL - 281
UR - http://geodesic.mathdoc.fr/item/ZNSL_2001_281_a14/
LA - ru
ID - ZNSL_2001_281_a14
ER -
%0 Journal Article
%A A. V. Yakovlev
%T On $p$-extensions of fields of characteristic $p$
%J Zapiski Nauchnykh Seminarov POMI
%D 2001
%P 274-279
%V 281
%U http://geodesic.mathdoc.fr/item/ZNSL_2001_281_a14/
%G ru
%F ZNSL_2001_281_a14
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 $p$.
