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This article is cited in 13 scientific papers (total 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.
Received: 18.02.2009
Citation:
E. I. Bunina, “Elementary equivalence of Chevalley groups over local rings”, Sb. Math., 201:3 (2010), 321–337
Linking options:
https://www.mathnet.ru/eng/sm7541https://doi.org/10.1070/SM2010v201n03ABEH004074 https://www.mathnet.ru/eng/sm/v201/i3/p3
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