Gagola, Stephen M., Jr.Sezer, Sezgin2024-05-252024-05-25201511433-58831435-444610.1515/jgth-2014-00382-s2.0-84937958416https://doi.org/10.1515/jgth-2014-0038https://hdl.handle.net/20.500.14517/270We study the situation of a finite group G having a subgroup H with the property that each of its nonprincipal irreducible (complex) characters induce to G as a sum of irreducible characters all having the same degree. When this happens, the subgroup H either contains, or is contained in, the commutator subgroup G' of G. In any case, the normal closure H-G is always proper in G whenever H is proper (even when G is perfect), and H-G is solvable whenever this normal closure is a proper subgroup of G'.eninfo:eu-repo/semantics/openAccess[No Keyword Available]ArticleQ4Q3182299312WOS:000350645400008