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

访问文件

10.1080/03081087.2019.1621794

其它文件与链接

链接到 Scopus 的出版物

引用此

@article{53a6dbc59e4b4cb480e82b69d9c526c0,

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.",

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

author = "Yujiao Sun",

note = "Publisher Copyright: {\textcopyright} 2019 Informa UK Limited, trading as Taylor & Francis Group.",

year = "2021",

doi = "10.1080/03081087.2019.1621794",

language = "English",

volume = "69",

pages = "1102--1136",

journal = "Linear and Multilinear Algebra",

issn = "0308-1087",

publisher = "Taylor and Francis Ltd.",

number = "6",

}

TY - JOUR

T1 - Supercharacter theories for Sylow p-subgroups of Lie type G 2

AU - Sun, Yujiao

PY - 2021

Y1 - 2021

N2 - 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.

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 - http://www.scopus.com/inward/record.url?scp=85067288774&partnerID=8YFLogxK

U2 - 10.1080/03081087.2019.1621794

DO - 10.1080/03081087.2019.1621794

M3 - Article

AN - SCOPUS:85067288774

SN - 0308-1087

VL - 69

SP - 1102

EP - 1136

JO - Linear and Multilinear Algebra

JF - Linear and Multilinear Algebra

IS - 6

ER -

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

摘要

访问文件

其它文件与链接

指纹

引用此

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