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arXiv · 2102.13149

Galois descent of equivalences between blocks of $p$-nilpotent groups

Robert Boltje·Deniz Yılmaz
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Abstract

We give sufficient conditions on $p$-blocks of $p$-nilpotent groups over $\mathbb{F}_p$ to be splendidly Rickard equivalent and $p$-permutation equivalent to their Brauer correspondents. The paper also contains Galois descent results on $p$-permutation modules and $p$-permutation equivalences that hold for arbitrary groups.

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Robert Boltje, Deniz Yılmaz. 2021-02-25. Galois descent of equivalences between blocks of $p$-nilpotent groups. https://arxiv.org/abs/2102.13149

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