On the stability of the \(K_1\)-functor for Chevalley groups of type \(E_7\)

DOI10.1006/jabr.1998.7535zbMath0918.20039OpenAlexW2036061945MaRDI QIDQ1276978

K. Appert

Publication date: 15 June 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1998.7535

zbMATH Keywords

stabilityChevalley groupsroot elements

Mathematics Subject Classification ID

Linear algebraic groups over adèles and other rings and schemes (20G35) Stability for linear groups (19B14)

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Width of SL(n,𝒪_S,I), Bounded reduction of orthogonal matrices over polynomial rings, Bak's work on theK-theory of rings, An $\mathrm {A}_2$-proof of structure theorems for Chevalley groups of types $\mathrm {E}_6$ and $\mathrm {E}_7$, Linear groups over general rings. I: Generalities., Bounded reduction for Chevalley groups of types \(E_6\) and \(E_7\), Bounded generation and commutator width of Chevalley groups: function case, Relative commutator calculus in Chevalley groups., AN A₃-PROOF OF STRUCTURE THEOREMS FOR CHEVALLEY GROUPS OF TYPES E₆ AND E₇, Calculations in exceptional groups over rings., Chevalley groups of type \(E_7\) in the 56-dimensional representation., Improved stability for the odd-dimensional orthogonal group, Dennis-Vaserstein type decompositions., Can one see the signs of structure constants?, Chevalley groups of type E7 in the 56-dimensional representation, Normalizer of the Chevalley group of type ${\mathrm E}_6$, $\mathrm A_2$-proof of structure theorems for Chevalley groups of type $\mathrm F_4$, Numerology of square equations, Calculations in exceptional groups, an update., Parabolic factorizations of split classical groups, ${\mathrm A}_3$-proof of structure theorems for Chevalley groups of types ${\mathrm E}_6$ and ${\mathrm E}_7$ II. Main lemma, A third look at weight diagrams, \(K_{1}\) of Chevalley groups are nilpotent, Partial differential equation approach to \(E_7\)

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