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On stable cohomology of central extensions of elementary abelian groups

Algebraic Geometry 2018-10-01 v1

Abstract

We study when kernels of inflation maps associated to extraspecial p-groups in stable group cohomology are generated by their degree two components. This turns out to be true if the prime is large enough compared to the rank of the elementary abelian quotient, but false in general.

Keywords

Cite

@article{arxiv.1809.11023,
  title  = {On stable cohomology of central extensions of elementary abelian groups},
  author = {Fedor Bogomolov and Christian Böhning and Alena Pirutka},
  journal= {arXiv preprint arXiv:1809.11023},
  year   = {2018}
}

Comments

13 pages