Derived equivalence in 𝑆𝐿₂(𝑝²)

Chuang, Joseph

doi:10.1090/S0002-9947-01-02679-4

Derived equivalence in $SL_2(p^2)$
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Trans. Amer. Math. Soc. 353 (2001), 2897-2913 Request permission

Abstract:

We present a proof that Broué’s Abelian Defect Group Conjecture is true for the principal $p$-block of the group $SL_2(p^2)$. Okuyama has independently obtained the same result using a different approach.

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