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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Splittings of cyclic $p$-algebras
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by David J. Saltman PDF
Proc. Amer. Math. Soc. 62 (1977), 223-228 Request permission

Abstract:

In this note we investigate the finite p-groups appearing as Galois groups of maximal subfields of cyclic p-algebras and show that for a fixed cyclic p-algebra, all possible such groups appear.
References
  • A. Adrian Albert, Structure of algebras, American Mathematical Society Colloquium Publications, Vol. XXIV, American Mathematical Society, Providence, R.I., 1961. Revised printing. MR 0123587
  • Nathan Jacobson, Lie algebras, Interscience Tracts in Pure and Applied Mathematics, No. 10, Interscience Publishers (a division of John Wiley & Sons, Inc.), New York-London, 1962. MR 0143793
  • Paul J. McCarthy, Algebraic extensions of fields, Blaisdell Publishing Co. [Ginn and Co.], Waltham, Mass.-Toronto, Ont.-London, 1966. MR 0197447
  • W. R. Scott, Group theory, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1964. MR 0167513
  • E. Witt, Konstruktion von galoisschen Körpern der Charakteristik p zu vorgegebner Gruppe de Ordnung ${p^f}$, J. für Math. 174 (1936), 237-245.
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Additional Information
  • © Copyright 1977 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 62 (1977), 223-228
  • MSC: Primary 12A80
  • DOI: https://doi.org/10.1090/S0002-9939-1977-0435044-4
  • MathSciNet review: 0435044