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Galois descent of equivalences between blocks of $p$-nilpotent groups (2102.13149v2)
Published 25 Feb 2021 in math.GR
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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