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Character degree graphs that are complete graphs |
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| Authors: | Mariagrazia Bianchi David Chillag Mark L Lewis Emanuele Pacifici |
| Institution: | Dipartimento di Matematica ``F. Enriques', Università Degli Studi Di Milano, Via C. Saldini 50, 20133 Milano, Italy ; Department of Mathematics, Technion, Israel Institute of Technology, Haifa 32000, Israel ; Department of Mathematical Sciences, Kent State University, Kent, Ohio 44242 ; Dipartimento di Matematica ``F. Enriques', Università Degli Studi Di Milano, Via C. Saldini 50, 20133 Milano, Italy |
| Abstract: | Let  be a finite group, and write  for the set of degrees of irreducible characters of  . We define  to be the graph whose vertex set is  , and there is an edge between  and  if  . We prove that if  is a complete graph, then  is a solvable group. |
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