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math.RT2026
Character values and conductors of low-rank groups of Lie type
Christopher Herbig, Nguyen N. Hung
Let be a complex irreducible character of a finite group . The conductor of , denoted , is the smallest positive integer such that $χ(x)\in \mathbb{Q}(\exp({2πi…
math.RT2023★ 1 cited
Principal blocks with six ordinary irreducible characters
Nguyen N. Hung, A. A. Schaeffer Fry, Carolina Vallejo
We classify Sylow -subgroups of finite groups whose principal -blocks have precisely six ordinary irreducible characters.
math.RT2022
The continuity of -rationality and a lower bound for -degree characters of finite groups
Nguyen N. Hung
Let be a prime and a finite group. We propose a strong bound for the number of -degree irreducible characters of in terms of the commutator factor group of a Sylow…