Normal Structure of Maximal Parabolic Subgroups in Chevalley Groups over Rings

DOI10.1142/S1005386709000595zbMath1187.20060MaRDI QIDQ3638721

Anastasia Stavrova

Publication date: 28 October 2009

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

Full work available at URL: http://www.worldscinet.com/ac/16/1604/S1005386709000595.html

zbMATH Keywords

parabolic subgroupsChevalley groupsLevi subgroupsunipotent radical

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 (10)

Linear groups over general rings. I: Generalities. ⋮ Centralizer of the elementary subgroup of an isotropic reductive group. ⋮ Overgroups of Levi subgroups I. The case of abelian unipotent radical ⋮ Calculations in exceptional groups over rings. ⋮ Chevalley groups of type \(E_7\) in the 56-dimensional representation. ⋮ Chevalley groups of type E7 in the 56-dimensional representation ⋮ Overgroups of subsystem subgroups in exceptional groups: levels. ⋮ Calculations in exceptional groups, an update. ⋮ Parabolic factorizations of split classical groups ⋮ Basic reductions in the description of normal subgroups.

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