Back to matchesWe found a matchYour institution may have rights to this item. Sign in to continue.TitleOn a theorem of Gagola and Lewis.AuthorsLu, JiakuanAbstractGagola and Lewis proved that a finite group is nilpotent if and only if divides for all irreducible characters of . In this paper, we prove that a finite soluble group is nilpotent if and only if divides for all irreducible monomial characters of .SubjectsMATHEMATICAL proofs; FINITE groups; NILPOTENT groups; NONLINEAR theories; MATHEMATICS theoremsPublicationJournal of Algebra & Its Applications, 2017, Vol 16, Issue 8, p-1ISSN0219-4988Publication typeArticleDOI10.1142/S0219498817501584