The Bogomolov multiplier is a group theoretical invariant isomorphic to the unramified
Brauer group of a given quotient space. We derive a homological version of the Bogomolov …

Let k be any field, G be a finite group acting on the rational function field k(x_g:g∈G) by
h⋅x_g=x_hg for any h,g∈G. Define k(G)=k(x_g:g∈G)^G. Noether's problem asks whether …

We describe the group| $ Aut_ {br}^ 1 ({\cal Z}(G)) $| A utbr 1 (Z (G)) of braided tensor
autoequivalences of the Drinfeld centre of a finite group G isomorphic to the identity functor …

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 …

In parallel to the classical theory of central extensions of groups, we develop a version for
extensions that preserve commutativity. It is shown that the Bogomolov multiplier is a …

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 …

Let k be an infinite field. The notion of retract k-rationality was introduced by Saltman in the
study of Noetherʼs problem and other rationality problems. We will investigate the retract …