The paper studies the minimum polynomial degrees of p-elements in cross-characteristic representations of simple groups of exceptional Lie type whose BN-pair rank is at most 2. Specifically, we prove that the degree in question equals the order of the element.
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory
- Cross-characteristic representations
- Finite simple groups of Lie type
- Hall-Higman type theorems
- Minimum polynomials