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arXiv · 1809.11023

On stable cohomology of central extensions of elementary abelian groups

Fedor Bogomolov·Christian Böhning·Alena Pirutka
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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.

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Fedor Bogomolov, Christian Böhning, Alena Pirutka. 2018-09-28. On stable cohomology of central extensions of elementary abelian groups. https://arxiv.org/abs/1809.11023

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