The Bogomolov multiplier of finite simple groups

Boris Kunyavskiĭ

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

35 Scopus citations

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 languageEnglish
Title of host publicationProgress in Mathematics
PublisherSpringer Basel
Pages209-217
Number of pages9
DOIs
StatePublished - 2010

Publication series

NameProgress in Mathematics
Volume282
ISSN (Print)0743-1643
ISSN (Electronic)2296-505X

Bibliographical note

Publisher Copyright:
© Birkhäuser Boston, a part of Springer Science+Business Media, LLC 2010.

Funding

Acknowledgment. The author’s research was supported in part by the Minerva Foundation through the Emmy Noether Research Institute of Mathematics, the Israel Academy of Sciences grant 1178/06, and a grant from the Ministry of Science, Culture and Sport (Israel) and the Russian Foundation for Basic Research (the Russian Federation). This paper was mainly written during the visit to the MPIM (Bonn) in August–September 2007 and completed during the visit to ENS (Paris) in April–May 2008. The support of these institutions is highly appreciated.

FundersFunder number
Emmy Noether Research Institute for Mathematics
Minerva Foundation
Russian Foundation for Basic Research
Israel Academy of Sciences and Humanities1178/06
Ministry of Culture and Sport

    Keywords

    • Bogomolov multiplier
    • Brauer group
    • Rationality

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