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^*

^*Corresponding author for this work

School of Mathematics and Statistics

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

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.

Original language	English
Pages (from-to)	1102-1136
Number of pages	35
Journal	Linear and Multilinear Algebra
Volume	69
Issue number	6
DOIs	https://doi.org/10.1080/03081087.2019.1621794
Publication status	Published - 2021

Keywords

Supercharacter theory
Sylow p-subgroup
character table

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Sun, Y. (2021). Supercharacter theories for Sylow p-subgroups of Lie type G ₂. Linear and Multilinear Algebra, 69(6), 1102-1136. https://doi.org/10.1080/03081087.2019.1621794

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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.

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KW - Sylow p-subgroup

KW - character table

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

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Keywords

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