3 papers
math.GR2026
Finite groups with many elements of the same order
Ryan McCulloch, Lee Tae Young
We study a conjecture by Deaconescu on the solubility of finite groups with claims that if more than half of the elements in a finite group has the same order , then the group i…
math.RT2026
Relations between values and zeros of irreducible characters of symmetric groups
Lee Tae Young
We prove certain polynomial relations between the values of complex irreducible characters of general finite symmetric groups. We use it to find some sets of conjugacy classes such…
math.GR2024
Hypergeometric sheaves and extraspecial groups in even characteristic
Lee Tae Young
We determine precisely which irreducible hypergeometric sheaves have an extraspecial normalizer in characteristic 2 as their geometric monodromy groups. This resolves the last open…