Overgroups of subsystem subgroups in exceptional groups: levels.

DOI10.1007/s10958-013-1382-xzbMath1301.20043OpenAlexW2041134387MaRDI QIDQ744481

A. V. Shchegolev, Nikolai A. Vavilov

Publication date: 25 September 2014

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-013-1382-x

zbMATH Keywords

levelsroot systemsexceptional groupsChevalley groups over commutative ringsintermediate subgroupsovergroups of elementary subgroupssystems of ideals

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Chains and lattices of subgroups, subnormal subgroups (20E15) Other matrix groups over rings (20H25) Linear algebraic groups over adèles and other rings and schemes (20G35) Exceptional groups (20G41)

Related Items (8)

Overgroups of subsystem subgroups in exceptional groups: nonideal levels ⋮ Unnamed Item ⋮ Overgroups of subsystem subgroups in exceptional groups: inside a sandwich ⋮ Overgroups of Levi subgroups I. The case of abelian unipotent radical ⋮ Decomposition of unipotents for \(\mathrm{E}_6\) and \(\mathrm{E}_7\): 25 years after ⋮ Overgroups of elementary block-diagonal subgroups in the classical symplectic group over an arbitrary commutative ring ⋮ ${\mathrm A}_3$-proof of structure theorems for Chevalley groups of types ${\mathrm E}_6$ and ${\mathrm E}_7$ II. Main lemma ⋮ Overgroups of subsystem subgroups in exceptional groups: A 2𝐴₁-proof

Cites Work

• On subgroups normalized by \(\mathrm{EO}(2l,R)\).
• Overgroups of classical groups over commutative rings in linear group.
• Subgroups of split orthogonal groups over a ring
• Parabolic subgroups of Chevalley groups over a semilocal ring
• The 27-dimensional module for \(E_ 6\). I
• Overgroups of unitary groups.
• Subgroups of split orthogonal groups over a commutative ring.
• A third look at weight diagrams
• Overgroups of symplectic group in linear group over commutative rings.
• Subring subgroups in Chevalley groups with doubly laced root systems.
• Decomposition of transvections: A theme with variations
• Calculations in exceptional groups over rings.
• Maximal subgroups of exceptional groups of Lie type, finite and algebraic
• Elementary subgroups of isotropic reductive groups
• Bak's work on theK-theory of rings
• Normalizers of subsystem subgroups in finite groups of Lie type
• Normal Structure of Maximal Parabolic Subgroups in Chevalley Groups over Rings
• Maximal subgroups of exceptional algebraic groups
• Subgroups of Maximal Rank in Finite Exceptional Groups of Lie Type
• On the subgroup structure of exceptional groups of Lie type
• MAXIMAL SUBGROUPS OF LARGE RANK IN EXCEPTIONAL GROUPS OF LIE TYPE
• Visual Basic Representations
• The maximal subgroups of positive dimension in exceptional algebraic groups
• On the lattice of subgroups of chevalley groups containing a split maximal torus
• Reductive subgroups of exceptional algebraic groups
• On the structure of parabolic subgroups
• A new type of pronormal subgroups in Chevalley groups
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