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Application: The symmetric part of the brauer group

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Part of the Lecture Notes in Mathematics book series (LNM,volume 444)

Keywords

  • Basic Group
  • Division Algebra
  • Division Ring
  • Central Simple Algebra
  • Finite Abelian Group

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References for Section V

  1. A.A. ALBERT, New Results on Associative Division Algebras, J. of Algebra 5 (1967), pp. 110–132.

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  2. I.N. HERSTEIN, Noncommutative Rings, The Carus Math. Monographs 15, Math. Assoc. Amer. 1968.

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  3. K. HOECHSMAN, Algebras Split by a Given Purely Inseparable Field, Proc. Amer. Math. Soc. 14 (1963), pp. 768–776.

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  4. W. KUYK, P. MULLENDER, On the Invariants of Finite Abelian Groups, Indag. Math. 25, Nr. 2, 1963.

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  5. W. KUYK, Generic Construction of a Class of Non Cyclic Division Algebras, J. Pure and Applied Algebra 2 (1972), pp. 121–131.

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  6. M.E. SWEEDLER, Structure of Inseparable Extensions, Ann. of Math. 87 (1968), p. 401.

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  7. F. VAN OYSTAEYEN, Generic Division Algebras, Bull. Soc. Math. Belg., XXV, 1973, pp. 259–285.

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  8. F. VAN OYSTAEYEN, The p-component of the Brauer Group of a Field of Characteristic p≠0, Indag. Math. 36, Nr. 1, 1974, pp. 67–76.

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© 1975 Springer-Verlag

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van Oystaeyen, F.M.J. (1975). Application: The symmetric part of the brauer group. In: Prime Spectra in Non-Commutative Algebra. Lecture Notes in Mathematics, vol 444. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0068140

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  • DOI: https://doi.org/10.1007/BFb0068140

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07146-4

  • Online ISBN: 978-3-540-37438-1

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