FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2000, VOLUME 6, NUMBER 3, PAGES 707-722

Elementary equivalence of linear and algebraic groups

E. I. Bunina
A. V. Mikhalev

Abstract

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The review paper is devoted to methods and results from elementary properties and elementary equivalence of linear groups over fields, skewfields and rings and also Chevalley groups. The content of the review: Section 1, Some main definitions; Section 2, Elementary properties of linear groups; Section 3, Elementary equivalence of linear groups over rings and some other algebraic structures; Section 4, Elementary equivalence of unitary linear groups over fields; Section 5, Elementary equivalence of unitary linear groups over rings; Section 6, Elementary equivalence of Chevalley groups over fields.

All articles are published in Russian.

Location: http://mech.math.msu.su/~fpm/eng/k00/k003/k00305h.htm
Last modified: December 8, 2000