Prime top extensions of division algebra

Springer Science and Business Media LLC - Tập 78 - Trang 197-207 - 1992
Louis H. Rowen1, David J. Saltman2
1Department of Mathematics, Bar-Ilan University, Ramat-Gan, Israel
2Department of Mathematics, University of Texas, Austin, USA

Tóm tắt

Every division algebra of degreep t has a prime-to-p extension which is a crossed product, ifft ≤ 2.

Tài liệu tham khảo

A. A. Albert,Structure of Algebras, AMS Coll. Publ. 24, Providence RI, 1961

K. S. Brown,Cohomology of Groups, Springer-Verlag, New York, 1982.

I. Demeyer and E. Ingraham,Separable Algebras over Commutative Rings, Springer Lecture Notes in Math. 181, 1971.

B. Jacob and A. Wadsworth,Division Algebras over Henselian Fields, J. Algebra128 (1990), 126–179.

P. Morandi,The Henselization of a Valued Division Algebra, J. Algebra122 (1989), 232–243.

M. Orzech and C. Small,The Brauer Group of Commutative Rings, Marcel Dekker, New York, 1975.

L. H. Rowen,Cyclic Division Algebras, Israel J. Math.41 (1982), 213–234. Correction, ibid.43 (1982), 277–280.

D. J. Saltman,Azumaya algebras with involution, J of Algebra52(2) (1978), 526–539.

D. Saltman,Splittings of cyclic p-algebras, Proc. Amer. Math. Soc.62 (1977), 223–228.

J.-P. Tignol,Algebres indecomposables d’exponent premier, Adv. in Math.65(3) (1987), 205–228.

J.-P. Tignol and S. A. Amitsur,Kummer subfields of Malcev-Neumann division algebras, Isr. J. of Math.50(1–2) (1985), 114–144.

T.-P. Tignol and A. R. Wadsworth,Totally ramified valuations on finite dimensional division algebras, Trans AMS302(1) (1987), 223–250.

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Springer Science and Business Media LLC

Tập 78

197-207

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