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

數學系

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3 引文斯高帕斯（Scopus）

摘要

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.

原文	English
頁（從 - 到）	4040-4067
頁數	28
期刊	Journal of Pure and Applied Algebra
卷	222
發行號	12
DOIs	https://doi.org/10.1016/j.jpaa.2018.02.019
出版狀態	Published - 2018 12月

All Science Journal Classification (ASJC) codes

代數與數理論

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10.1016/j.jpaa.2018.02.019

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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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ER -

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

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