Supercharacter theories for Sylow p-subgroups of Lie type G  2

Yujiao Sun

doi:10.1080/03081087.2019.1621794

Supercharacter theories for Sylow p-subgroups of Lie type G ₂

Yujiao Sun^*

^*此作品的通讯作者

数学学院

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

We construct a supercharacter theory, and establish the supercharacter table for Sylow p-subgroups (Formula presented.) of the Chevalley groups (Formula presented.) of Lie type (Formula presented.) when p>2. Then we calculate the conjugacy classes, determine the complex irreducible characters by Clifford theory, and obtain the character tables for (Formula presented.) when p>3.

源语言	英语
页（从-至）	1102-1136
页数	35
期刊	Linear and Multilinear Algebra
卷	69
期	6
DOI	https://doi.org/10.1080/03081087.2019.1621794
出版状态	已出版 - 2021

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10.1080/03081087.2019.1621794

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title = "Supercharacter theories for Sylow p-subgroups of Lie type G 2",

abstract = "We construct a supercharacter theory, and establish the supercharacter table for Sylow p-subgroups (Formula presented.) of the Chevalley groups (Formula presented.) of Lie type (Formula presented.) when p>2. Then we calculate the conjugacy classes, determine the complex irreducible characters by Clifford theory, and obtain the character tables for (Formula presented.) when p>3.",

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AB - We construct a supercharacter theory, and establish the supercharacter table for Sylow p-subgroups (Formula presented.) of the Chevalley groups (Formula presented.) of Lie type (Formula presented.) when p>2. Then we calculate the conjugacy classes, determine the complex irreducible characters by Clifford theory, and obtain the character tables for (Formula presented.) when p>3.

KW - Supercharacter theory

KW - Sylow p-subgroup

KW - character table

UR - https://www.scopus.com/pages/publications/85067288774

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DO - 10.1080/03081087.2019.1621794

M3 - Article

AN - SCOPUS:85067288774

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JO - Linear and Multilinear Algebra

JF - Linear and Multilinear Algebra

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Supercharacter theories for Sylow p-subgroups of Lie type G 2

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Supercharacter theories for Sylow p-subgroups of Lie type G ₂