Dade's Invariant Conjecture for the Ree groups 2F4(q²) in Defining Characteristic

2010/03/05 by Frank Himstedt, Shih-Chang Huang, Himstedt, Frank +2
Computer Science · Mathematics · #20C20 #20C40 #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Representation Theory (math.RT) #math.RT #msc:20C20 #msc:20C40

paper · pdf · doi:10.48550/arxiv.1003.1337

arxiv created 2010/03/05 · arxiv updated 2010/03/05 · openalex publication_date 2010/03/05 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We verify Dade's invariant conjecture for the simple Ree groups 2F4(2²ⁿ⁺¹) for all n > 0 in the defining characteristic, i.e., in characteristic 2. This completes the proof of Dade's conjecture for the simple Ree groups 2F4(2²ⁿ⁺¹).

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