The Bogomolov Multiplier of Finite Simple Groups

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

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).
Original languageAmerican English
Title of host publicationCohomological and Geometric Approaches to Rationality Problems
EditorsFedor Bogomolov, Yuri Tschinkel
PublisherBirkhäuser
Pages209-217
Volume282
StatePublished - 2009

Publication series

NameProgress in Mathematics

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