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MR1709084 (2001a:20018) 20C15 (20C20)
Zalesskiĭ, A. E. Minimal polynomials and eigenvalues of $p$-elements in representations of quasi-simple groups with a cyclic Sylow $p$-subgroup. J. London Math. Soc. (2) 59 (1999), no. 3, 845--866.
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