scientific article; zbMATH DE number 2187760

zbMath1104.20050MaRDI QIDQ5460959

A. Yu. Luzgarev

Publication date: 20 July 2005

Full work available at URL: https://eudml.org/doc/226901

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

elementary Chevalley groupsminimal irreducible representationsperfect intermediate subgroupsperfect overgroups

Mathematics Subject Classification ID

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

Related Items (15)

Geometry of root elements in groups of type $\mathrm E_{6}$ ⋮ On the description of overgroups of \(E(m,R)\otimes E(n,R)\). ⋮ Calculations in exceptional groups over rings. ⋮ Chevalley groups of type \(E_7\) in the 56-dimensional representation. ⋮ Width of groups of type \(\mathrm E_6\) with respect to root elements. II. ⋮ More variations on the decomposition of transvections. ⋮ Chevalley groups of type E7 in the 56-dimensional representation ⋮ Normalizer of the Chevalley group of type ${\mathrm E}_6$ ⋮ $\mathrm A_2$-proof of structure theorems for Chevalley groups of type $\mathrm F_4$ ⋮ Overgroups of $\text {\rm F}_4$ in $\text {\rm E}_6$ over commutative rings ⋮ Overgroups of subsystem subgroups in exceptional groups: levels. ⋮ Normalizer of the Chevalley group of type ${\operatorname E}_7$ ⋮ Overgroups of $E(m,R)⊗E(n,R)$ I. Levels and normalizers ⋮ Width of groups of type $\mathrm E_{6}$ with respect to root elements. I ⋮ ${\mathrm A}_3$-proof of structure theorems for Chevalley groups of types ${\mathrm E}_6$ and ${\mathrm E}_7$ II. Main lemma

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