Isomorphisms of adjoint Chevalley groups over integral domains

DOI10.1090/S0002-9947-96-01521-8zbMath0848.20035MaRDI QIDQ4875711

Yu Chen

Publication date: 13 June 1996

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

inner automorphismselementary subgroupsisomorphismsstandard automorphismsgraph automorphismsring automorphismsadjoint Chevalley groups over integral domains

Mathematics Subject Classification ID

Automorphisms of infinite groups (20E36) Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items (12)

Linear groups over general rings. I: Generalities. ⋮ Hecke algebra isomorphisms and adelic points on algebraic groups ⋮ Automorphisms and isomorphisms of Chevalley groups and algebras. ⋮ Automorphisms of elementary adjoint Chevalley groups of types \(A_l\), \(D_l\), and \(E_l\) over local rings with \(1/2\). ⋮ Automorphisms of Chevalley groups of types \(A_l\), \(D_l\), or \(E_l\) over local rings with \(1/2\). ⋮ Calculations in exceptional groups over rings. ⋮ Isomorphisms of Chevalley groups over algebras ⋮ Elementary equivalence of stable linear groups over local commutative rings with \(1/2\) ⋮ Automorphisms of Chevalley groups of type \(F_4\) over local rings with \(1/2\). ⋮ Normalizers of Chevalley groups of type \(G_2\) over local rings without \(1/2\) ⋮ Automorphisms of Chevalley groups of different types over commutative rings. ⋮ Automorphisms of Chevalley groups of type \(G_2\) over local rings without \(1/2\).

Cites Work

• Homomorphismes abstraits de groupes algébriques simples
• Automorphisms of affine Kac-Moody groups and related Chevalley groups over rings
• Isomorphic Chevalley groups over integral domains
• Automorphisms of Finite Linear Groups
• On the Automorphisms of Infinite Chevalley Groups
• Unnamed Item

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