Let p be a prime number, F a field containing a root of unity of order p, and GF the absolute
Galois group. Extending results of Hopkins, Wickelgren, Minác and Tân, we prove that the …

In this paper, we study a class of central simple algebras of dimension 16 (over a field F)
called biquaternion algebras. These are, by definition, tensor product algebras of the form …

Les algebres considerees dans cet article sont simples et de dimension tinie sur leur centre.
La dimension dun telle algbbre sur son centre est le carrt dun nombre entier appele degrh …

We bound the symbol length of elements in the Brauer group of a field $ K $ containing a $
C_m $ field (for example any field containing an algebraically closed field or a finite field) …

P the elements of exponent pin the Elrauer group is generated by the classes of cyclic
algebras of degree p. It is a very interesting question whether this is true for any fitld. In 54 …

For a field F with a p-Henselian valuation v, direct sum decompositions will be proved for
Milnor's K-theory mod n (na power of the prime p), for the Galois cohomology of F with Z n …

Let Y,,..., Y, be n Severi-Brauer varieties over a field k. Let k (Y| x... x Y,) be the function field
of their product. Using a recent result of Kahn we show that the quotient of the kernel of the …

Let A be a central simple algebra of degree n (ie dimension n) OVer a field F of characteristic
different from 2. An involution a (of the first kind) on A is an anti-automorphism of period 2 …

It is shown that the Pythagoras number of a real function field of a hyperelliptic curve C, with
good reduction, defined over the real formal power series field is equal to 2. A main tool in …

Let F be a field of characteristic not 2, and suppose M is a multiquadratic extension of F. That
is, M/F is a finite abelian extension of exponent 2, so that M= F (@) for some finite subgroup …