The Bogomolov multiplier of rigid finite groups

Abstract

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 subgroups of $G$. This invariant of $G$ plays an important role in birational geometry of quotient spaces $V/G$. We show that in many cases the vanishing of the Bogomolov multiplier is guaranteed by the rigidity of $G$ in the sense that it has no outer class-preserving automorphisms.

9 pages

References in corpus (2)

• Bogomolov multipliers and retract rationality for semi-direct products
• Unramified Brauer groups and isoclinism

Cited by in corpus (1)

• The ambiguity index of an equipped finite group