Abstract
Let ๐ be an algebraically closed field. We classify the finite groups having exactly one irreducible ๐-representation of degree bigger than one. The case where the characteristic of ๐ is zero, was done by G. Seitz in 1968.
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ACKNOWLEDGMENTS
The first author is partially supported by MURST project โTeoria dei Gruppi e Applicazioni.โ The second author is partially supported by the Ministerio de Educaciรณn y Ciencia proyecto MTM2010-15296, Programa de Movilidad, and Prometeo/Generalitat Valenciana.
Notes
Communicated by A. Turull.