Classifies Gruenberg-Kegel graphs of finite solvable cut and rational groups and resolves the Prime Graph Question for rational groups and most cut groups.
Hertweck, Partial augmentations and B rauer character values of torsion units in group rings , preprint (2007), 16 pages, arXiv.org/abs/0612429v2
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Gruenberg-Kegel graphs: cut groups, rational groups and the Prime Graph Question
Classifies Gruenberg-Kegel graphs of finite solvable cut and rational groups and resolves the Prime Graph Question for rational groups and most cut groups.