Combinatorial and logical aspects of linear groups and Chevalley groups

E. I. Bunina, A. V. Mikhalev

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

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
Volume85
Issue number1-3
DOIs
StatePublished - Jan 2005
Externally publishedYes

Keywords

  • Chevalley groups
  • Elementary equivalence
  • Linear groups

Fingerprint

Dive into the research topics of 'Combinatorial and logical aspects of linear groups and Chevalley groups'. Together they form a unique fingerprint.

Cite this