Radical subgroups of the finite exceptional groups of Lie type \(E_6\).

DOI10.1016/j.jalgebra.2014.03.030zbMath1304.20018OpenAlexW2071467049WikidataQ115350922 ScholiaQ115350922MaRDI QIDQ403074

Jianbei An, Heiko Dietrich, Shih-chang Huang

Publication date: 29 August 2014

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2014.03.030

zbMATH Keywords

finite groups of Lie typemaximal \(p\)-local subgroupsradical subgroupsfinite groups of exceptional type

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Special subgroups (Frattini, Fitting, etc.) (20D25) Simple groups: alternating groups and groups of Lie type (20D06) Exceptional groups (20G41)

Related Items

Alperin weight conjecture and related developments ⋮ Classification of some 3-subgroups of the finite groups of Lie type \(E_{6}\) ⋮ Radical 3-subgroups of the finite groups of Lie type \(E_{6}\) ⋮ Maximal 2-local subgroups of \(E_7(q)\).

Uses Software

• Magma

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Radical 3-subgroups and essential 3-rank of \(F_4(q)\).
• Radical 3-subgroups of \(F_4(q)\) with \(q\) even.
• The essential rank of classical groups.
• Group cohomology and control of \(p\)-fusion.
• A reduction theorem for the Alperin weight conjecture.
• On unipotent blocks and their ordinary characters
• The Magma algebra system. I: The user language
• The blocks of finite general linear and unitary groups
• The radical subgroups of the Fischer simple groups
• Recognizing SL2(q) in fusion systems
• The local structure of finite groups of characteristic 2 type
• Centralizers of semisimple elements in a chevalley group
• The Maximal Tori in The Finite Chevalley Groups of Type E₆E₇And E₈
• The semisimple conjugacy classes of finite groups of lie type E₆and E₇
• On Maximal Finite Irreducible Subgroups of GL(n, Z ): II. The Six Dimensional Case
• Local Structure, Vertices and Alperin's Conjecture
• The essential rank of Brauer categories for finite groups of Lie type
• Endliche Gruppen I