论文标题

Huppert的猜想的同等版本

Equivalent version of Huppert's conjecture on the codegrees

论文作者

Bahri, Afsaneh, Akhlaghi, Zeinab, Khosravi, Behrooz

论文摘要

令G为有限的组,IRR(G)IRR(G)中G和X \的所有不可还原复杂特征的集合。让COD(X)= | G:KERX |/X(1)和COD(G)= {COD(X)| x \ in Irr(g)}。在本说明中,我们表明,对于Prime Power Q> 3,简单组PSL(2,Q)由其代码集的集合唯一确定。

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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