Radical 3-subgroups of the finite groups of Lie type E6

Jianbei An; Heiko Dietrich; Shih Chang Huang

doi:10.1016/j.jpaa.2018.02.019

Radical 3-subgroups of the finite groups of Lie type E₆

Jianbei An, Heiko Dietrich, Shih Chang Huang

Department of Mathematics

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

2 Citations (Scopus)

Abstract

We consider the universal version of the finite exceptional group of Lie type G=E₆ ^ε(q) with 3|q−ε, where E₆ ⁺¹(q)=E₆(q) and E₆ ⁻¹(q)=²E₆(q). We classify, up to conjugacy, the radical 3-subgroups of G. As an application, the essential 3-rank of the Frobenius category F_D(G) is determined, where D is a Sylow 3-subgroup of G.

Original language	English
Pages (from-to)	4040-4067
Number of pages	28
Journal	Journal of Pure and Applied Algebra
Volume	222
Issue number	12
DOIs	https://doi.org/10.1016/j.jpaa.2018.02.019
Publication status	Published - 2018 Dec

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1016/j.jpaa.2018.02.019

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title = "Radical 3-subgroups of the finite groups of Lie type E6 ",

abstract = "We consider the universal version of the finite exceptional group of Lie type G=E6 ε(q) with 3|q−ε, where E6 +1(q)=E6(q) and E6 −1(q)=2E6(q). We classify, up to conjugacy, the radical 3-subgroups of G. As an application, the essential 3-rank of the Frobenius category FD(G) is determined, where D is a Sylow 3-subgroup of G.",

author = "Jianbei An and Heiko Dietrich and Huang, {Shih Chang}",

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AU - An, Jianbei

AU - Dietrich, Heiko

AU - Huang, Shih Chang

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N2 - We consider the universal version of the finite exceptional group of Lie type G=E6 ε(q) with 3|q−ε, where E6 +1(q)=E6(q) and E6 −1(q)=2E6(q). We classify, up to conjugacy, the radical 3-subgroups of G. As an application, the essential 3-rank of the Frobenius category FD(G) is determined, where D is a Sylow 3-subgroup of G.

AB - We consider the universal version of the finite exceptional group of Lie type G=E6 ε(q) with 3|q−ε, where E6 +1(q)=E6(q) and E6 −1(q)=2E6(q). We classify, up to conjugacy, the radical 3-subgroups of G. As an application, the essential 3-rank of the Frobenius category FD(G) is determined, where D is a Sylow 3-subgroup of G.

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JO - Journal of Pure and Applied Algebra

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ER -

Radical 3-subgroups of the finite groups of Lie type E₆

Abstract

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