Centers of chevalley groups over commutative rings
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Publication:3791351
DOI10.1080/00927878808823561zbMath0647.20047OpenAlexW1977177135MaRDI QIDQ3791351
Publication date: 1988
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927878808823561
Subgroup theorems; subgroup growth (20E07) Linear algebraic groups over adèles and other rings and schemes (20G35) Affine algebraic groups, hyperalgebra constructions (14L17)
Related Items (18)
Twisted conjugacy in classical Chevalley groups over certain domains of positive characteristic ⋮ An $\mathrm {A}_2$-proof of structure theorems for Chevalley groups of types $\mathrm {E}_6$ and $\mathrm {E}_7$ ⋮ Centralizer of the elementary subgroup of an isotropic reductive group. ⋮ Automorphisms and isomorphisms of Chevalley groups and algebras. ⋮ Subring subgroups in Chevalley groups with doubly laced root systems. ⋮ AN A3-PROOF OF STRUCTURE THEOREMS FOR CHEVALLEY GROUPS OF TYPES E6 AND E7 ⋮ Calculations in exceptional groups over rings. ⋮ Isomorphisms of Chevalley groups over algebras ⋮ Elementary equivalence of Chevalley groups over fields. ⋮ Automorphisms of Chevalley groups of type \(F_4\) over local rings with \(1/2\). ⋮ Automorphisms of Chevalley groups of type \(B_l\) over local rings with \(1/2\). ⋮ Automorphisms of Chevalley groups of types \(A_l\), \(D_l\), \(E_l\) over local rings without \(1/2\). ⋮ The radical \(RN\) and the weakly solvable radical of linear groups over associative rings. ⋮ Normalizer of the Chevalley group of type ${\mathrm E}_6$ ⋮ $\mathrm A_2$-proof of structure theorems for Chevalley groups of type $\mathrm F_4$ ⋮ Chevalley groups over commutative rings. I: Elementary calculations ⋮ Normal Structure of Maximal Parabolic Subgroups in Chevalley Groups over Rings ⋮ Basic reductions in the description of normal subgroups.
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