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The Bogomolov multiplier of finite simple groups

Group Theory 2022-08-03 v3 Algebraic Geometry

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).

Keywords

Cite

@article{arxiv.0712.4069,
  title  = {The Bogomolov multiplier of finite simple groups},
  author = {Boris Kunyavskii},
  journal= {arXiv preprint arXiv:0712.4069},
  year   = {2022}
}

Comments

10 pages (final version)