The inductive McKay--Navarro condition for the Suzuki and Ree groups

2021/10/21 by Birte Johansson, Johansson, Birte · 2 citations
Computer Science · Mathematics · #20C15 #20C33 #Advanced Algebra and Geometry #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2110.10946

openalex publication_date 2021/10/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We verify the inductive McKay--Navarro condition for the Suzuki and Ree groups for all primes as well as for p=3 and the groups PSL₃(q) with q ≡ 4,7 mod 9, PSU₃(q) with q ≡ 2,5 mod 9, and G₂(q) with q=2,4,5,7 mod 9. On the way, we show that there exists a Galois-equivariant Jordan decomposition for the irreducible characters of the Suzuki and Ree groups.

Cited by

• The Isaacs--Navarro Galois conjecture
• Towards the inductive McKay--Navarro Condition for groups of Lie type

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