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math.GR2022
On some rational extension properties for and even-degree characters fixed by order-2 Galois automorphisms
A. A. Schaeffer Fry
In this note, we prove that if every character of a finite group fixed by an order-2 Galois automorphism has odd degree, then has a normal Sylow -subgroup. On the way, w…
math.GR2021
The inductive McKay-Navarro conditions for the prime 2 and some groups of Lie type
L. Ruhstorfer, A. A. Schaeffer Fry
For a prime , the McKay conjecture suggests a bijection between the set of irreducible characters of a finite group with -degree and the corresponding set for the norm…
math.GR2017
Galois Automorphisms on Harish-Chandra Series and Navarro's Self-Normalizing Sylow -Subgroup Conjecture
A. A. Schaeffer Fry
G. Navarro has conjectured a necessary and sufficient condition for a finite group to have a self-normalizing Sylow 2-subgroup, which is given in terms of the ordinary irreduci…