Finite groups whose all irreducible character degrees are Hall-numbers. (Q865480)

This paper studies finite groups \(G\) with the property that each irreducible (complex) character degree \(m\) of \(G\) satiesfies \((m,|G|/m)=1\), and the structure of such groups is described in some detail. In particular, using CFSG it is proved that if in addition \(G\) is nonabelian simple, then \(G\cong L_2(2^f)\) with \(f\geq 2\).