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Descent of splendid Rickard equivalences in alternating groups (2111.10922v2)
Published 21 Nov 2021 in math.RT and math.GR
Abstract: We show that each block of an alternating group over an arbitrary complete discrete valuation ring is splendidly Rickard equivalent to its Brauer correspondent. This provides new evidence for a refined version of Brou\'{e}'s abelian defect group conjecture proposed by Kessar and Linckelmann.
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