Relative Brauer groups in characteristic $p$
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- by Roberto Aravire and Bill Jacob
- Proc. Amer. Math. Soc. 137 (2009), 1265-1273
- DOI: https://doi.org/10.1090/S0002-9939-08-09746-3
- Published electronically: November 13, 2008
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Abstract:
This paper gives a description of the relative Brauer group $\textrm {Br}(E/F)$ when $F$ has characteristic $p$, $[E:F]=p$, and the Galois group $\textrm {Gal}(E_1/F)$ is solvable, where $E_1$ is the Galois closure of $E$ over $F$.References
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Bibliographic Information
- Roberto Aravire
- Affiliation: Universidad Arturo Prat, Casilla 121, Iquique, Chile
- Email: raravire@unap.cl
- Bill Jacob
- Affiliation: University of California, Santa Barbara, Santa Barbara, California 93106
- Email: jacob@math.ucsb.edu
- Received by editor(s): April 24, 2008
- Published electronically: November 13, 2008
- Additional Notes: The first author was supported by Fondecyt 1050 337 and Proyecto Anillos, PBCT, ACT05
The second author was supported by Proyecto Anillos, PBCT, ACT05 - Communicated by: Martin Lorenz
- © Copyright 2008 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 137 (2009), 1265-1273
- MSC (2000): Primary 16K20, 16K50
- DOI: https://doi.org/10.1090/S0002-9939-08-09746-3
- MathSciNet review: 2465648