Some character degree conditions implying solvability of finite groups.
Continuing in the spirit of some of his earlier work, the author proves that if \(G\) is a finite group whose character degree set is a subset of \(\{1,a,b,c,ab,ac\}\) for some pairwise relatively coprime integers \(a\), \(b\), and \(c\), then \(G\) is solvable, or \(\{a,b,c\}=\{2^f-1,2^f,2^f+1\}\) for some \(f\geq 2\) and \(\{1,a,b,c\}\) is the set of character degrees of \(G\).
scientific article; zbMATH DE number 6175484