Hall-Higman type theorems for exceptional groups of Lie type, I

DOI10.1016/J.JALGEBRA.2022.01.034zbMATH Open1511.20053arXiv2106.03224WikidataQ115193820 ScholiaQ115193820MaRDI QIDQ6369579

A. E. Zalesskiĭ, Pham Huu Tiep

Publication date: 6 June 2021

Abstract: 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.

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Ordinary representations and characters (20C15) Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20) Simple groups: alternating groups and groups of Lie type (20D06) Representations of finite groups of Lie type (20C33)

This page was built for publication: Hall-Higman type theorems for exceptional groups of Lie type, I