2 citations · 6 across the 7 of their papers we have counts for
7 papers
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…
Wreath products and the non-coprime problem
Nguyen N. Hung, Attila Maróti, Juan Martínez Madrid
Let be the wreath product of a nontrivial finite group with conjugacy classes and a transitive permutation group of degree acting on the set of di…
The codegree isomorphism problem for finite simple groups II
Nguyen N. Hung, Alexander Moretó
Let be a nonabelian finite simple group. Huppert's conjecture asserts that if is a finite group with the same set of complex character degrees as , then $G\cong H\times…
Common zeros of irreducible characters
Nguyen N. Hung, Alexander Moretó, Lucia Morotti
We study the zero-sharing behavior among irreducible characters of a finite group. For symmetric groups , it is proved that, with one exception, any two irreducible characters…
The codegree isomorphism problem for finite simple groups
Nguyen N. Hung, Alexander Moretó
We study the codegree isomorphism problem for finite simple groups. In particular, we show that such a group is determined by the codegrees (counting multiplicity) of its irreducib…
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.
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…