Inductive Feit and Galois-McKay conditions for some small-rank simple groups of Lie Type

2025/07/29 by Tapp, Carlos
#20C15 #20C25 #20C33 #20D06 #FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2507.21650

Abstract

We complete the proof of the inductive Feit condition and the inductive Galois-McKay condition for the simple groups PSL₂(q). We also prove that the Suzuki groups ²B₂(2²ⁿ⁺¹) satisfy the inductive Feit condition.

Citations

• A reduction theorem for the Feit conjecture
• A reduction theorem for the Galois-McKay conjecture
• The Navarro refinement of the McKay conjecture for finite groups of Lie type in defining characteristic

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• Towards the inductive McKay--Navarro Condition for groups of Lie type
• Descent equalities and the inductive McKay condition for types B and E
• The inductive McKay-Navarro conditions for the prime 2 and some groups of Lie type
• On equivariant bijections relative to the defining characteristic
• Inductive McKay condition for finite simple groups of type C