Schur Index and Extensions of Witt-Berman's Theorems

Ravindra Shripad Kulkarni, Soham Swadhin Pradhan

Let $G$ be a finite group, and $F$ a field of characteristic $0$ or prime to the order of $G$. In $1952$, Witt and in $1956$, Berman independently proved that the number of inequiv…