Generic splitting fields of composition algebras
HTML articles powered by AMS MathViewer
- by J. C. Ferrar PDF
- Trans. Amer. Math. Soc. 128 (1967), 506-514 Request permission
References
- A. A. Albert, Quadratic forms permitting composition, Ann. of Math. (2) 43 (1942), 161–177. MR 6140, DOI 10.2307/1968887
- S. A. Amitsur, Generic splitting fields of central simple algebras, Ann. of Math. (2) 62 (1955), 8–43. MR 70624, DOI 10.2307/2007098 M. Deuring, Lectures on the theory of algebraic functions of one variable, Tata Inst. of Fund. Res., Bombay, 1959.
- N. Jacobson, Composition algebras and their automorphisms, Rend. Circ. Mat. Palermo (2) 7 (1958), 55–80. MR 101253, DOI 10.1007/BF02854388
- Albrecht Pfister, Multiplikative quadratische Formen, Arch. Math. (Basel) 16 (1965), 363–370 (German). MR 184937, DOI 10.1007/BF01220043
- Peter Roquette, On the Galois cohomology of the projective linear group and its applications to the construction of generic splitting fields of algebras, Math. Ann. 150 (1963), 411–439. MR 154888, DOI 10.1007/BF01357435
- Ernst Witt, Über ein Gegenbeispiel zum Normensatz, Math. Z. 39 (1935), no. 1, 462–467 (German). MR 1545510, DOI 10.1007/BF01201366
Additional Information
- © Copyright 1967 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 128 (1967), 506-514
- MSC: Primary 17.50; Secondary 12.10
- DOI: https://doi.org/10.1090/S0002-9947-1967-0212063-2
- MathSciNet review: 0212063