Abstract
In this note we prove that the Eaton-Moretó conjecture holds for all blocks of finite general linear and unitary groups for all primes. Also, we show that no block of a finite quasi-simple group of classical Lie type provides a minimal counterexample to the conjecture, and so for ℓ > 5 no ℓ-block of any quasi-simple group can be a minimal counterexample.
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