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Algebra i logika, 2009, Volume 48, Number 4, Pages 443–470 (Mi al408)  
This article is cited in 17 scientific papers (total in 17 papers)

Automorphisms of elementary adjoint Chevalley groups of types $A_l$, $D_l$, and $E_l$ over local rings with 1/2

E. I. Bunina

Chair of High Algebra, Faculty of Mechanics and Mathematics, M. V. Lomonosov Moscow State University, Moscow, RUSSIA
Full-text PDF (276 kB) Citations (17)
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Abstract: It is proved that every automorphism of an elementary adjoint Chevalley group of type $A_l$, $D_l$, or $E_l$ over a local commutative ring with 1/2 is a composition of a ring automorphism and conjugation by some matrix from the normalizer of that Chevalley group in $GL(V)$ ($V$ is an adjoint representation space).
Keywords: automorphism, elementary adjoint Chevalley group, local commutative ring.
Received: 28.02.2007
Revised: 18.07.2008
English version:
Algebra and Logic, 2009, Volume 48, Issue 4, Pages 250–267
DOI: https://doi.org/10.1007/s10469-009-9061-1
Bibliographic databases:
UDC: 512.533.22
Language: Russian
Citation: E. I. Bunina, “Automorphisms of elementary adjoint Chevalley groups of types $A_l$, $D_l$, and $E_l$ over local rings with 1/2”, Algebra Logika, 48:4 (2009), 443–470; Algebra and Logic, 48:4 (2009), 250–267
Citation in format AMSBIB
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    • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и логика Algebra and Logic
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