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

Yujiao Sun

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

Representation Theory 2019-09-02 v2

Authors: Yujiao Sun

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 ${^2{G}_2^{syl}(3)}$ .

Keywords

supercharacter theory sylow p-subgroup ree groups conjugacy classes character table

Cite

@article{arxiv.1808.06930,
  title  = {Supercharacter theories for Sylow $p$-subgroups of the Ree groups},
  author = {Yujiao Sun},
  journal= {arXiv preprint arXiv:1808.06930},
  year   = {2019}
}

Comments

20 pages, 6 tables. arXiv admin note: text overlap with arXiv:1808.03115

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