Finite Groups with a Given Set of Character Degrees |
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| Authors: | Farideh Shafiei Ali Iranmanesh Mark L Lewis Kamal Aziziheris |
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| Institution: | 1.Department of Mathematics, Faculty of Mathematical Sciences,Tarbiat Modares University,Tehran,Iran;2.Department of Mathematical Sciences,Kent State University,Kent,USA;3.Department of Mathematical Sciences,University of Tabriz,Tabriz,Iran;4.School of Mathematics, Institute for Research in Fundamental Sciences(IPM),Tehran,Iran |
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| Abstract: | Let G be a finite group with {1, q, r, qm, q 2 m, rqm} as the character degree set, where r and q are distinct primes and m>1 is an integer not divisible by q or r. We show that G is solvable and the derived length of G equals 3. |
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