摘要翻译:
由所有上同调类组成的有限群G的Schur乘子的子群称为G的Bogomolov乘子。如果G是拟单的或几乎单的,则它的Bogomolov乘子是平凡的。
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英文标题:
《The Bogomolov multiplier of finite simple groups》
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作者:
Boris Kunyavskii
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最新提交年份:
2008
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分类信息:
一级分类:Mathematics 数学
二级分类:Group Theory 群论
分类描述:Finite groups, topological groups, representation theory, cohomology, classification and structure
有限群、拓扑群、表示论、上同调、分类与结构
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一级分类:Mathematics 数学
二级分类:Algebraic Geometry 代数几何
分类描述:Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇,叠,束,格式,模空间,复几何,量子上同调
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英文摘要:
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.
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PDF链接:
https://arxiv.org/pdf/0712.4069