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Zapiski Nauchnykh Seminarov POMI, 2001, Volume 281, Pages 274–279 (Mi znsl1501)  
On $p$-extensions of fields of characteristic $p$

A. V. Yakovlev

Saint-Petersburg State University
Full-text PDF (136 kB)
Abstract: 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 $p$.
Received: 28.10.2001
English version:
Journal of Mathematical Sciences (New York), 2004, Volume 120, Issue 4, Pages 1642–1644
DOI: https://doi.org/10.1023/B:JOTH.0000017894.66521.34
Bibliographic databases:
UDC: 512.623.2
Language: Russian
Citation: A. V. Yakovlev, “On $p$-extensions of fields of characteristic $p$”, Problems in the theory of representations of algebras and groups. Part 8, Zap. Nauchn. Sem. POMI, 281, POMI, St. Petersburg, 2001, 274–279; J. Math. Sci. (N. Y.), 120:4 (2004), 1642–1644
Citation in format AMSBIB
\Bibitem{Yak01}
\by A.~V.~Yakovlev
\paper On $p$-extensions of fields of characteristic~$p$
\inbook Problems in the theory of representations of algebras and groups. Part~8
\serial Zap. Nauchn. Sem. POMI
\yr 2001
\vol 281
\pages 274--279
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1501}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1875730}
\zmath{https://zbmath.org/?q=an:1118.12001}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2004
\vol 120
\issue 4
\pages 1642--1644
\crossref{https://doi.org/10.1023/B:JOTH.0000017894.66521.34}
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