Finite groups with coprime non-linear codegrees
Abstract
Given a finite group G with an irreducible character ∈ Irr(G), the codegree of is defined by cod() = |G : |/(1). The set of non-linear irreducible character codegrees of G is denoted by cod(G|G'). In this note, we classify all finite groups G with |cod(G|G')|> 1 and for each pair of distinct elements m, n ∈ cod(G|G'), m and n are coprime.
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