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arXiv · 2010.10463

Equivalent version of Huppert's conjecture on the codegrees

Afsane Bahri·Zeinab Akhlaghi·Behrooz Khosravi
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Abstract

Let G be a finite group, Irr(G) the set of all irreducible complex characters of G and X \in Irr(G). Let also cod(X) = |G : kerX|/X(1) and cod(G) = {cod(X) | X \in Irr(G)}. In this note, we show that the simple group PSL(2, q), for a prime power q > 3, is uniquely determined by the set of its codegree.

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Afsane Bahri, Zeinab Akhlaghi, Behrooz Khosravi. 2020-10-20. Equivalent version of Huppert's conjecture on the codegrees. https://arxiv.org/abs/2010.10463

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