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math.GR2026
Degrees of -rational characters and normality of Sylow -subgroups
Silvio Dolfi, Pham Huu Tiep, Yu Zeng
Several refinements of (the normality part of) the celebrated Itô--Michler theorem were obtained during the last two decades, in which the condition of having -degree, for a fi…
math.RT2026
Zeros of characters and orders of elements in finite groups
Gunter Malle, Gabriel Navarro, Pham Huu Tiep
We investigate a beautiful conjecture of T. Wilde on character values and element orders of finite groups. We reduce it to a statement on nearly simple groups that can be checked `…