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

2021/06/06 by Pham Huu Tiep, Tiep, Pham Huu, A. E. Zalesski +1 · 1 citation
Mathematics · #20C15 #20C20 #20C33 #20G05 #20G40 #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2106.03224

openalex publication_date 2021/06/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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