We give the first examples of finite groups G such that the Chow ring of the classifying space
BG depends on the base field, even for fields containing the algebraic closure of ℚ. As a …

Let G be an algebraic group over a field F, V a generically free representation of G (ie, the
stabilizer of the generic point in V is trivial) and U⊂ V a G-equivariant open subset such that …

We give the complete stably rational classification of algebraic tori of dimensions $4 $ and
$5 $ over a field $ k $. In particular, the stably rational classification of norm one tori whose …

The Bogomolov multiplier of a finite group G is defined as the subgroup of the Schur
multiplier consisting of the cohomology classes vanishing after restriction to all abelian …

Let G be a finite group. The Bogomolov multiplier B 0 (G) is constructed as an obstruction to
the rationality of C (V) G where G→ GL (V) is a faithful representation over C. We prove that …

Groups of order p5 and their unramified Brauer groups Page 1 Journal of Algebra 372 (2012)
420–427 Contents lists available at SciVerse ScienceDirect Journal of Algebra www.elsevier.com/locate/jalgebra …

Let G be a finite p-group. We prove that whenever the commuting probability of G is greater
than (2 p 2+ p− 2)/p 5, the unramified Brauer group of the field of G-invariant functions is …

Using the notion of isoclinism introduced by P. Hall for finite p-groups, we show that many
important classes of finite p-groups have stable cohomology detected by abelian subgroups …

Isoclinism classes of Galois groups of number fieldsOnline logo sign_in Unia Europejska A+
CATEGORY SCIENTIFIC UNIT Institute About us Directory Board Mathematicians …

arXiv:1203.2422v1 [math.GR] 12 Mar 2012 Page 1 arXiv:1203.2422v1 [math.GR] 12 Mar 2012
UNRAMIFIED BRAUER GROUPS AND ISOCLINISM PRIMOZ MORAVEC Abstract. We show …