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math.GR2024
Characters, Hall subgroups, and Normal Complements
Robert Guralnick, Gabriel Navarro
If is a Hall subgroup of a finite group , it was proven in 1989 using the classification of finite simple groups that all the irreducible complex characters of extend to…
math.GR2023
The Field of Values of the Height Zero Characters
Gabriel Navarro, Lucas Ruhstorfer, Pham Huu Tiep +1
We determine what are the fields of values of the irreducible -height zero characters of all finite groups for ; we conjecture what they should be for odd primes, and reduc…
math.GR2010★ 1 cited
On Endo-trivial Modules for p-Solvable Groups
Gabriel Navarro, Geoffrey R. Robinson
We prove a conjecture of J. Carlson, N. Mazza and J. Thévenaz; namely, we will prove that if is a finite -nilpotent group which contains a non-cyclic elementary Abelian -…