AbstractLet k be a field with algebraic closure k¯, G a semisimple algebraic k-group, and T⊂G×k¯ a maximal torus with character group X(T). Denote Λ the abstract weight lattice of the roots system of G, and by Brn(k) and Brn(G) the n-torsion subgroup of the Brauer group of k and G, respectively. We prove that if chark does not divide n and n is prime to the order of Λ/X(T) then the natural homomorphism Brn(k)→Brn(G) is an isomorphism
AbstractThis article is a continuation of my article, “On Isomorphisms of a Brauer Character Ring on...
AbstractLet p be a prime and k be an algebraically closed field of characteristic p. Let G and G′ be...
Rehmann U, Tikhonov SV, Yanchevskii VI. Two-torsion of the Brauer groups of hyperelliptic curves and...
We study the algorithmic aspects of the l-torsion of the Brauer group Br(K) of a field K which conta...
Let $F$ be a one variable function field over a complete discretely valued field with residue field ...
AbstractIt is now known [H. Kisilevsky, J. Sonn, Abelian extensions of global fields with constant l...
AbstractClifford theory provides well behaved character correspondences between different groups whi...
AbstractLet R be a commutative noetherian ring. We compute the n-torsion part of the Brauer group of...
AbstractWe show that, for all characteristic p global fields k and natural numbers n coprime to the ...
AbstractIf k is a field, the projective Schur group PS(k) of k is the subgroup of the Brauer group B...
AbstractLet F be either an algebraic number field or a p-adic field and A a central simple algebra o...
AbstractIf k is a field, the projective Schur group PS(k) of k is the subgroup of the Brauer group B...
Let p^m be a power of a prime number p, D_{p^m} be the dihedral group of order 2p^m and k be a field...
Abstract. We present an alternative constructive proof of the Brauer-Witt theorem using the so-calle...
Abstract. An algebra is a vector space V over a field k together with a k-bilinear product of vector...
AbstractThis article is a continuation of my article, “On Isomorphisms of a Brauer Character Ring on...
AbstractLet p be a prime and k be an algebraically closed field of characteristic p. Let G and G′ be...
Rehmann U, Tikhonov SV, Yanchevskii VI. Two-torsion of the Brauer groups of hyperelliptic curves and...
We study the algorithmic aspects of the l-torsion of the Brauer group Br(K) of a field K which conta...
Let $F$ be a one variable function field over a complete discretely valued field with residue field ...
AbstractIt is now known [H. Kisilevsky, J. Sonn, Abelian extensions of global fields with constant l...
AbstractClifford theory provides well behaved character correspondences between different groups whi...
AbstractLet R be a commutative noetherian ring. We compute the n-torsion part of the Brauer group of...
AbstractWe show that, for all characteristic p global fields k and natural numbers n coprime to the ...
AbstractIf k is a field, the projective Schur group PS(k) of k is the subgroup of the Brauer group B...
AbstractLet F be either an algebraic number field or a p-adic field and A a central simple algebra o...
AbstractIf k is a field, the projective Schur group PS(k) of k is the subgroup of the Brauer group B...
Let p^m be a power of a prime number p, D_{p^m} be the dihedral group of order 2p^m and k be a field...
Abstract. We present an alternative constructive proof of the Brauer-Witt theorem using the so-calle...
Abstract. An algebra is a vector space V over a field k together with a k-bilinear product of vector...
AbstractThis article is a continuation of my article, “On Isomorphisms of a Brauer Character Ring on...
AbstractLet p be a prime and k be an algebraically closed field of characteristic p. Let G and G′ be...
Rehmann U, Tikhonov SV, Yanchevskii VI. Two-torsion of the Brauer groups of hyperelliptic curves and...
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