Supercharacter theories for Sylow p-subgroups of the Ree groups

Yujiao Sun

doi:10.1016/j.jpaa.2021.106680

Supercharacter theories for Sylow p-subgroups of the Ree groups

Yujiao Sun

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

We determine a supercharacter theory for Sylow p-subgroups G2syl2(3^2m+1) of the Ree groups G22(3^2m+1), calculate the conjugacy classes of G2syl2(3^2m+1), and establish the character table of G2syl2(3).

Original language	English
Article number	106680
Journal	Journal of Pure and Applied Algebra
Volume	225
Issue number	10
DOIs	https://doi.org/10.1016/j.jpaa.2021.106680
Publication status	Published - Oct 2021

Keywords

Character table
Supercharacter theory
Sylow p-subgroup

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10.1016/j.jpaa.2021.106680

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title = "Supercharacter theories for Sylow p-subgroups of the Ree groups",

abstract = "We determine a supercharacter theory for Sylow p-subgroups G2syl2(32m+1) of the Ree groups G22(32m+1), calculate the conjugacy classes of G2syl2(32m+1), and establish the character table of G2syl2(3).",

keywords = "Character table, Supercharacter theory, Sylow p-subgroup",

author = "Yujiao Sun",

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year = "2021",

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AB - We determine a supercharacter theory for Sylow p-subgroups G2syl2(32m+1) of the Ree groups G22(32m+1), calculate the conjugacy classes of G2syl2(32m+1), and establish the character table of G2syl2(3).

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DO - 10.1016/j.jpaa.2021.106680

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JO - Journal of Pure and Applied Algebra

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Supercharacter theories for Sylow p-subgroups of the Ree groups

Abstract

Keywords

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