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arxiv: 2512.18042 · v3 · pith:NXYFALOEnew · submitted 2025-12-19 · 🧮 math.RT · math.GR

Problems on the conductor of finite group characters

Nguyen N. Hung This is my paper
classification 🧮 math.RT math.GR
keywords finitecharactersconductorgroupproblemsanotherbroaderconnections
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This paper reviews recent results and open problems on the conductor of finite group characters, highlighting their connections to one another and to broader topics in the representation theory of finite groups.

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  1. Character values and conductors of low-rank groups of Lie type

    math.RT 2026-04 unverdicted novelty 5.0

    In certain rank-1 groups of Lie type, the conductor c(χ) of an irreducible character equals c(χ(g)) for some single element g, and in quasisimple cases the field Q(χ) is generated by one value.