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arXiv · 1808.06930

Supercharacter theories for Sylow $p$-subgroups of the Ree groups

Yujiao Sun
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Abstract

We determine a supercharacter theory for Sylow $p$-subgroups ${^2{G}_2^{syl}(3^{2m+1})}$ of the Ree groups $^2{G}_2(3^{2m+1})$, calculate the conjugacy classes of ${^2{G}_2^{syl}(3^{2m+1})}$, and establish the character table of ${^2{G}_2^{syl}(3)}$.

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Yujiao Sun. 2018-08-19. Supercharacter theories for Sylow $p$-subgroups of the Ree groups. https://arxiv.org/abs/1808.06930

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