The Bogomolov multiplier of rigid finite groups
Journal
Archiv der Mathematik
Journal Volume
102
Journal Issue
3
Pages
209-218
Date Issued
2014
Author(s)
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. © 2014 Springer Basel.
Type
journal article