Jordan subgroups of simple algebraic groups

DOI10.1007/BF01979373zbMath0719.20024OpenAlexW2026589328MaRDI QIDQ2639966

Alexandre V. Borovik

Publication date: 1989

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/187463

zbMATH Keywords

simple algebraic groupfinite simple groups of Lie typeminimal normal subgroupJordan subgroupselementary abelian subgroup

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Linear algebraic groups over finite fields (20G40) Subgroup theorems; subgroup growth (20E07) Simple groups (20E32) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (5)

Structure of finite subgroups of simple algebraic groups ⋮ Maximal 2-local subgroups of \(E_7(q)\). ⋮ On Non-Generic Finite Subgroups of Exceptional Algebraic Groups ⋮ Maximal abelian subgroups of compact simple Lie groups of type E ⋮ The \(D_\pi\) property of finite groups in the case \(2\notin\pi\).

Cites Work

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• On the maximal subgroups of the finite classical groups
• Classification of periodic linear groups over fields of odd characteristic
• Sous-groupes commutatifs et torsion des groupes de Lie compacts connexes
• The spectral properties of a certain class of self-adjoint operator functions
• Torsion in reductive groups
• On a subgroup of order \(2^{15}| \text{GL}(5,2)|\) in \(E_6(\mathbb C)\), the Dempwolff group and \(\Aut(D_8\cdot D_8\cdot D_8)\)
• Semi-simple elements of order 3 in finite Chevalley groups
• The irreducible subgroups of PSL\((V_5,q)\), where \(q\) is odd
• Some subgroups of \(SI_ n(F_2)\)
• Les sous-groupes fermes de rang maximum des groupes de Lie clos
• Finite simple groups of low 2-rank and the families $G_2 \left( q \right),\,D_4^2 \left( q \right),\,q$ odd

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