Huppert's analogue conjecture for \PSL(3,q) and \PSU(3,q)

2022/09/06 by Liu, Yang, Yang, Yong
#20C15 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2209.02660

Abstract

Let G be a finite group and χ∈ \irr(G). The codegree of χ is defined as \cod(χ)=(|G:ker(χ)|)/(χ(1)) and \cod(G)=\\cod(χ) | χ∈ \irr(G)\ is called the set of codegrees of G. In this paper, we show that the set of codegrees of \PSL(3,q) and \PSU(3,q) determines the group up to isomorphism.

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