We determine the mod cohomological invariants for several affine group schemes in
characteristic. These are invariants of-torsors with values in étale motivic cohomology, or …

We describe all Witt invariants and mod 2 cohomological invariants of the functor I n as
combinations of fundamental invariants; this is related to the study of operations on mod 2 …

THE IMAGE OF THE MAP FROM GROUP COHOMOLOGY TO GALOIS COHOMOLOGY 1.
Introduction Let k be a field of ch(k) = 0, which contains a Page 1 TRANSACTIONS OF THE …

For all positive integers $ n $ and all homotopy modules $ M_* $, we define certain
operations $\underline {\operatorname {K}}^{\operatorname {MW}} _n\rightarrow M_* $ and …

Invariants of simple algebras Page 1 manuscripta math. 129, 409–421 (2009) Sanghoon Baek
· Alexander S. Merkurjev Invariants of simple algebras Received: 10 January 2009 / Revised …

The Witt ring of symmetric bilinear forms over a field has divided power operations. On the
other hand, it follows from Garibaldi, Merkurjev, and Serre's work on cohomological …

arXiv:2401.12738v1 [math.GR] 23 Jan 2024 Page 1 arXiv:2401.12738v1 [math.GR] 23 Jan
2024 Invariants cohomologiques mod 2 et invariants de Witt des groupes alternés version …

Let p be a prime, ka field, containing a primitive p th root of unity, char k≠ p. We give an
upper bound for the Faddeev index of a central simple algebra of exponent p over the …

Let F be a field, char F≠ 2. In the first section of the paper we prove that if A=(a, b)+(c, d) is a
biquaternion algebra divisible by 2 in the Brauer group Br (F), and《− 1,− 1》 F= 0, then the …

Let p be a prime and F a field of characteristic different from p. Suppose all p-primary roots of
unity are contained in F. Let α∈ pBr (F) which has a cyclic splitting field. We prove that γi …