On the Automorphisms of Infinite Chevalley Groups

DOI10.4153/CJM-1969-099-7zbMath0181.03803MaRDI QIDQ5570982

James E. Humphreys

Publication date: 1969

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

group theory

Related Items (23)

Automorphisms and opposition in spherical buildings of exceptional type, I ⋮ The \(R_\infty\) and \(S_\infty\) properties for linear algebraic groups ⋮ Automorphisms of simple Chevalley groups over \(Q\)-algebras ⋮ Linear groups over general rings. I: Generalities. ⋮ Isomorphism theory of congruence groups ⋮ Standardness and standard automorphisms of Chevalley groups. I: The case of rank at least two. ⋮ Local-global invariants of finite and infinite groups: around Burnside from another side. ⋮ Automorphisms of elementary adjoint Chevalley groups of types \(A_l\), \(D_l\), and \(E_l\) over local rings with \(1/2\). ⋮ Isomorphisms of adjoint Chevalley groups over integral domains ⋮ Automorphisms of Chevalley groups of types \(A_l\), \(D_l\), or \(E_l\) over local rings with \(1/2\). ⋮ Isomorphisms of Chevalley groups over algebras ⋮ AUTOMORPHISMS OF PARTIALLY COMMUTATIVE GROUPS II: COMBINATORIAL SUBGROUPS ⋮ Elementary equivalence of stable linear groups over local commutative rings with \(1/2\) ⋮ Linear groups ⋮ 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 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 \(1/2\). ⋮ Automorphisms of orthogonal groups in characteristic 2 ⋮ Automorphisms of Chevalley groups of different types over commutative rings. ⋮ Automorphisms of Chevalley groups of types \(B_2\) and \(G_2\) over local rings. ⋮ Automorphisms of Chevalley groups of type \(G_2\) over local rings without \(1/2\). ⋮ Twisted conjugacy classes in Chevalley groups.

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