On the structure of parabolic subgroups in algebraic groups

DOI10.1006/jabr.1993.1092zbMath0829.20069OpenAlexW2014931930MaRDI QIDQ1802208

Gerhard Röhrle

Publication date: 15 January 1996

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

Full work available at URL: https://doi.org/10.1006/jabr.1993.1092

zbMATH Keywords

parabolic subgroupsorbitsLevi subgroupsLevi complementlower central series of the unipotent radical

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Subgroup theorems; subgroup growth (20E07) Groups with a (BN)-pair; buildings (20E42) Derived series, central series, and generalizations for groups (20F14)

Related Items (14)

Parabolic subgroups with Abelian unipotent radical ⋮ Unsolvable block transitive automorphism groups of \(2\)-\((v,5,1)\) designs ⋮ Unsolvable Block Transitive Automorphism Groups of 2-(v,11,1) Designs ⋮ An $\mathrm {A}_2$-proof of structure theorems for Chevalley groups of types $\mathrm {E}_6$ and $\mathrm {E}_7$ ⋮ Orthogonal roots and orbits of graded semisimple Lie algebras ⋮ Fourier coefficients of automorphic forms, character variety orbits, and small representations ⋮ Chevalley groups of type \(E_7\) in the 56-dimensional representation. ⋮ The recursive nature of cominuscule Schubert calculus ⋮ Can one see the signs of structure constants? ⋮ Weight elements of Chevalley groups ⋮ Visual Basic Representations ⋮ Normal Structure of Maximal Parabolic Subgroups in Chevalley Groups over Rings ⋮ Long root tori in Chevalley groups ⋮ Basic reductions in the description of normal subgroups.

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