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arXiv · 2412.13926

Finite groups with coprime non-linear codegrees

Ashkan Zarezadeh·Behrooz Khosravi·Zeinab Akhlaghi
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Abstract

Given a finite group G with an irreducible character \chi \in Irr(G), the codegree of \chi is defined by cod(\chi) = |G :\ker \chi|/\chi(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 \in cod(G|G'), m and n are coprime.

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Ashkan Zarezadeh, Behrooz Khosravi, Zeinab Akhlaghi. 2024-12-18. Finite groups with coprime non-linear codegrees. https://arxiv.org/abs/2412.13926

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