The Bogomolov multiplier of finite simple groups

By B. Kunyavskii. 2007

182 citations recorded by the source corpus.

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).

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/21be6da169e5059b3f9ee4212ab8caa88889b142

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In Geometry and Topology

In Mathematical Physics

Citations in the corpus

Graphs defined on groups (2021, background): “• if the Schur multiplier of G is trivial, then DCom(G) = Com(G); • in general, the Bogomolov multiplier is much smaller than the Schur multiplier; for example, if G is a non-abelian finite simple group, then its Bogomolov multiplier is trivial [74].”
On the universal $CH_0$ group of cubic hypersurfaces (2014, unknown): “A G ] 1 9 Se p 20 15”
The K3 category of a cubic fourfold (2015, background): “First note that by results of Kuznetsov [Kuz09] one has HH ∗(AX′) ' Ext∗X′×X(P, P ) ' HH ∗(AX).”
Unramified Brauer groups of finite and infinite groups (2012, background): “He proved that H2nr(C(V ) G,Q/Z) is canonically isomorphic to a certain subgroup B0(G) (defined in Section 3) of the Schur multiplier H2(G,Q/Z) of G. Kunyavskiı̆ [17] coined the term the Bogomolov multiplier of G for the group B0(G).”
Derived categories of Gushel–Mukai varieties (2016, background): “Namely, Kuznetsov [5] showed there is a semiorthogonal decomposition”