6533b85afe1ef96bd12b8a9f

RESEARCH PRODUCT

Finite Groups with Only One NonLinear Irreducible Representation

Gabriel NavarroSilvio Dolfi

subject

Discrete mathematicsNonlinear systemAlgebra and Number TheoryDegree (graph theory)Irreducible representationZero (complex analysis)Algebraically closed fieldMathematics

description

Let 𝕂 be an algebraically closed field. We classify the finite groups having exactly one irreducible 𝕂-representation of degree bigger than one. The case where the characteristic of 𝕂 is zero, was done by G. Seitz in 1968.

https://doi.org/10.1080/00927872.2011.594472