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math.GR2023★ 2 cited
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…
math.GR2022★ 1 cited
The average character degree of finite groups and Gluck's conjecture
Alexander Moretó
We prove that the order of a finite group with trivial solvable radical is bounded above in terms of , the average degree of the irreducible characters. It is not…
math.GR2022
Methods and questions in character degrees of finite groups
Alexander Moretó
We present some variations on some of the main open problems on character degrees. We collect some of the methods that have proven to be very useful to work on these problems. Thes…