AUTOMORPHISMS OF MATRIX GROUPS OVER COMMUTATIVE RINGS

DOI10.1070/SM1983v045n04ABEH001024zbMath0511.20029OpenAlexW2063871613MaRDI QIDQ4750017

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Publication date: 1983

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm1983v045n04abeh001024

zbMATH Keywords

conjugationhomothetyelementary transvectionstypes of automorphismscontragredient automorphism

Mathematics Subject Classification ID

Automorphisms of infinite groups (20E36) Automorphism groups of groups (20F28) Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items (17)

On the description of overgroups of \(E(m,R)\otimes E(n,R)\). ⋮ Decomposition of transvections for automorphisms. ⋮ Linear groups over general rings. I: Generalities. ⋮ Infinite steinberg groups ⋮ A note on the existence of nontrivial homomorphism En(R) → En−1(R) ⋮ Automorphisms of some magmas of order \(k+k^2\) ⋮ 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 \(1/2\). ⋮ 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 Chevalley groups of different types over commutative rings. ⋮ Yet another variation on the theme of decomposition of transvections. ⋮ Automorphisms of stable linear groups over commutative local rings with \(1/2\). ⋮ Automorphisms of Chevalley groups of type \(G_2\) over local rings without \(1/2\). ⋮ Chevalley groups over commutative rings. I: Elementary calculations ⋮ Isomorphisms of Steinberg groups over commutative rings ⋮ Isomorphisms of general linear groups over rings

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