Combinatorial and logical aspects of linear groups and Chevalley groups

E. I. Bunina, A. V. Mikhalev

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4 Scopus citations


The combinatorial and logical aspects of linear and Chevalley groups were studied. The elementary properties of linear groups were posed for the groups GLn(K), SLn(K), PGLn(K) and PSLn(K). The Mal'cev theorem on elementary equivalence of linear groups over fields was generalized to the case of linear groups over rings and skewfields. The structural theorem proved that the groups G(m, K1) and G(n, K 2 are elementary equivalent if and only if m=n and the fields K 1 and K2 are elementary equivalent.

Original languageEnglish
Pages (from-to)57-74
Number of pages18
JournalActa Applicandae Mathematicae
Issue number1-3
StatePublished - Jan 2005
Externally publishedYes


  • Chevalley groups
  • Elementary equivalence
  • Linear groups


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