FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1998, VOLUME 4, NUMBER 4, PAGES 1265-1278

Elementary equivalence of unitary linear groups over fields

E. I. Bounina

Abstract

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In this article it is proved that two unitary linear groups over fields with involutions with skew-symmetric forms of maximal rank are elementary equivalent if and only if they have the same dimension and the fields are elementary equivalent as the fields with involutions.

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Last modified: January 25, 1999