Supercharacter theories for Sylow p-subgroups of the Ree groups

2018/08/19 by Sun, Yujiao
#20D15. Secondary 20C33 #20D20 #FOS: Mathematics #Primary 20C15 #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1808.06930

Abstract

We determine a supercharacter theory for Sylow p-subgroups ²G₂^syl(3^2m+1) of the Ree groups ²G₂(3^2m+1), calculate the conjugacy classes of ²G₂^syl(3^2m+1), and establish the character table of ²G₂^syl(3).

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