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math.RT2021
Hall-Higman type theorems for exceptional groups of Lie type, I
Pham Huu Tiep, A. E. Zalesski
The paper studies the minimum polynomial degrees of -elements in cross-characteristic representations of simple groups of exceptional Lie type whose BN-pair rank is at most 2. S…
math.RT2021
Bounding p-Brauer characters in finite groups with two conjugacy classes of p-elements
Nguyen Ngoc Hung, Benjamin Sambale, Pham Huu Tiep
Let k(B_0) and l(B_0) respectively denote the number of ordinary and p-Brauer irreducible characters in the principal block B_0 of a finite group G. We prove that, if k(B_0)-l(B_0)…