Generic splitting fields of central simple algebras
From MaRDI portal
Publication:766421
DOI10.2307/2007098zbMath0066.28604OpenAlexW2322513803WikidataQ105486669 ScholiaQ105486669MaRDI QIDQ766421
Publication date: 1955
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2007098
Related Items (68)
Generic splitting of reductive groups ⋮ Quotients of Severi-Brauer surfaces ⋮ Jacques Tits motivic measure ⋮ Critical varieties and motivic equivalence for algebras with involution ⋮ On the Galois cohomology of the projective linear group and its applications to the construction of generic splitting fields of algebras ⋮ Formes Quadratiques de Dimension 6 ⋮ On Noether's problem for central extensions of symmetric and alternating groups ⋮ Division algebras of prime degree with infinite genus ⋮ Noncommutative motives of separable algebras ⋮ Cohomological invariants of algebras with involution ⋮ A descent problem for quadratic forms ⋮ Brauer groups of fields of genus zero ⋮ Galois cohomology of the classical groups over fields of cohomological dimension \(\leq 2\) ⋮ The centers of generic division algebras with involution ⋮ Hasse principle for principal homogeneous spaces under classical groups over a field of virtual cohomological dimension at most one ⋮ Function fields of generalized brauer-severi varieties ⋮ Generic Splitting Fields of Composition Algebras ⋮ Galois groups of orderP3 ⋮ Excellent algebraic groups. I ⋮ Rational maps between varieties associated to central simple algebras ⋮ Decomposition of algebras with involution in characteristic 2 ⋮ Norm polynomials and algebras ⋮ Équivalence motivique des groupes algébriques semisimples ⋮ Birational classification of pointless del Pezzo surfaces of degree 8 ⋮ Simple algebraic groups with the same maximal tori, weakly commensurable Zariski-dense subgroups, and good reduction ⋮ On elementary equivalence, isomorphism and isogeny ⋮ The zeta function of a class of rational varieties ⋮ Linear algebraic groups with good reduction ⋮ Simple Algebras and Cohomology Groups of Arbitrary Fields ⋮ Generic Reducing Fields of Jordan Pairs ⋮ Unnamed Item ⋮ Birational maps between generalized Severi-Brauer varieties ⋮ The automorphisms of Petit’s algebras ⋮ Zopfgruppen und Einbettungsprobleme. (Braid groups and embedding problems) ⋮ Demuškin groups of rank \(\aleph{}_ 0\) as absolute Galois groups ⋮ Morphisms to Brauer–Severi Varieties, with Applications to Del Pezzo Surfaces ⋮ On the residue fields of Henselian valued stable fields ⋮ Algebras whose right nucleus is a central simple algebra ⋮ Parameter curves for the regular representations of tame bimodules. ⋮ A generalisation of Amitsur's A-polynomials ⋮ QUADRATIC DESCENT FOR QUATERNION ALGEBRAS ⋮ Classification of upper motives of algebraic groups of inner type \(A_n\) ⋮ Open problems on central simple algebras. ⋮ Essential dimension of moduli of curves and other algebraic stacks ⋮ APPLICATIONS OF CLIFFORD ALGEBRAS TO INVOLUTIONS AND QUADRATIC FORMS ⋮ Products of Brauer-Severi surfaces ⋮ The cancellation problem ⋮ On ruled fields ⋮ Generic splitting fields ⋮ A birational interpretation of Severi-Brauer varieties ⋮ Rational surfaces over perfect fields ⋮ Index reduction formulas for twisted flag varieties. I ⋮ Some finiteness results for algebraic groups and unramified cohomology over higher-dimensional fields ⋮ Bounds on orders of finite subgroups of \(\text{PGL}_n(K)\) ⋮ Fibers of generic Brauer-Severi schemes ⋮ The genus of a division algebra and the unramified Brauer group ⋮ Isotropy of certain quadratic forms of dimensions 7 and 8 over the function field of a quadric ⋮ On the Noether problem for torsion subgroups of tori ⋮ The zeta function of a birational Severi-Brauer scheme ⋮ Some applications of Jordan norms to involutorial simple associative algebras ⋮ Conics in the Grothendieck ring ⋮ On the notion of canonical dimension for algebraic groups ⋮ Noether's problem over an algebraically closed field ⋮ The Schur index and Moody's theorem ⋮ Unramified cohomology and rationality problems ⋮ Some projective varieties defined by Jordan algebras ⋮ The Brauer group and the center of generic matrices ⋮ Ruled Function Fields
This page was built for publication: Generic splitting fields of central simple algebras