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References
A.A. Albert, Structure of Algebras, Amer. Math. Soc. Coll. Pub. Vol. 24, Providence,Rhode Island, 1961.
S.A. Amitsur, On central division algebras, Israel J. of Math. 12(1972), 408–420.
S.A. Amitsur and D. Saltman, Generic abelian crossed products and p-algebras, J. of Algebra (to appear).
S. Bloch, Torison algebraic cycles, K2, and the Brauer group of function fields, Bull. A.M.S. 80(1974), 941–945.
P.M. Cohn, Algebra II, John Wileym New York, 1977.
P. Deligne, Varieties unirationnelles non rationellos, Seminaire Bourbaki, Expose 402, Lecture Notes in Math., vol. 317, Springer-Verlag, New York, 1973.
S. Endo and T. Miyata, Invariants of finite abelian groups, J. Math. Soc. Japan, 25(1973), 7–26.
D.R. Farkas, Miscallany on Bieberbach group algebras, Pacific J. Math. 59(1975), 427–435.
E. Formanek, The center of the ring of 3×3 matrices, Linear and Multilinear Algebra (to appear).
K.W. Gruenberg, Relation modules of finite groups, CBMS conference series, Vol. 25, American Math. Soc., Providence, Rhode Island.
K.W. Gruenberg,Cohomological topics in group theory, Lecture Notes in Math, Vol. 143, Springer-Verlag, New York, 1970.
M. Hall, The Theory of Groups, Macmillan, New York, 1959.
I.N. Herstein, Noncommutative Rings, John Wiley, New York, 1968.
P. Linnel, Zero divisors and idempotents in group rings, Math. Proc. Camb. Phil. Soc. 81(1977), 365–368.
J. Milnor, Introduction to Algebraic K-theory, Ann. of Math.Studies, no. 12, Princeton Univ. Press, Princeton, N.J., 1971.
J.P. Murre, Reduction of the proof of the non-rationality of a non-singular cubic threefold to a result of Mumford, Compositio Math. 27(1973), 63–82.
S. Rosset, Generic matrices, K2, and unirational fields, Bull. A.M.S. 81(1975), 707–708.
S. Rosset, Abelian splitting of division algebras of prime degrees, Comment. Math. Helvetici 52(1977), 519–523.
J. Tignol, Sur les classes de similitude de corps a involution de degre 8, (to appear).
V.E. Voskresenskii, On the question of the structure of the subfield of invariants of a cyclic group of automorphisms of the field Q(x1,...,xn), (Russian). Izv. Akad. Nauk SSSR Ser. Mat. 34(1970), 366–375. English translation: Math. USSR-Izv. 4(1970), 371–380.
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Snider, R.L. (1979). Is the brauer group generated by cyclic algebras?. In: Handelman, D., Lawrence, J. (eds) Ring Theory Waterloo 1978 Proceedings, University of Waterloo, Canada, 12–16 June, 1978. Lecture Notes in Mathematics, vol 734. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0103164
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DOI: https://doi.org/10.1007/BFb0103164
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