The subgroup of the Schur multiplier of a finite group G consisting of all cohomology classes whose restriction to any abelian subgroup of G is zero is called the Bogomolov multiplier of G. We prove that if G is quasisimple or almost simple, its Bogomolov multiplier is trivial except for the case of certain covers of PSL(3, 4).
|Title of host publication
|Cohomological and Geometric Approaches to Rationality Problems
|Fedor Bogomolov, Yuri Tschinkel
|Published - 2009
|Progress in Mathematics