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math.GR2024
Zeros of -characters
Thomas Breuer, Michael Joswig, Gunter Malle
The concept of -characters of finite groups was introduced by Zhmud' as a generalisation of transitive permutation characters. Any non-trivial -character takes a zero value o…
math.GR2024
On Frobenius graphs of diameter 3 for finite groups
Thomas Breuer, László Héthelyi, Erzsébet Horváth +1
For a subgroup of a finite group , the Frobenius graph records the constituents of the restrictions to of the irreducible characters of . We investigate whe…
math.GR2024
Finite groups whose real irreducible representations have unique dimensions
Thomas Breuer, Frank Calegari, Silvio Dolfi +2
We determine the finite groups whose real irreducible representations have different degrees.