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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb., 2010 Volume 201, Number 3, Pages 3–20 (Mi sm7541)

This article is cited in 13 papers

Elementary equivalence of Chevalley groups over local rings

E. I. Bunina

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: It is proved that (elementary) Chevalley groups over local rings with invertible 2 are elementarily equivalent if and only if their types and weight lattices coincide and the initial rings are elementarily equivalent.
Bibliography: 25 titles.

Keywords: Chevalley groups, elementary equivalence, local rings.

UDC: 512.54+510.67

MSC: 20A15, 20H25

Received: 18.02.2009

DOI: 10.4213/sm7541


 English version:
Sbornik: Mathematics, 2010, 201:3, 321–337

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© Steklov Math. Inst. of RAS, 2025