Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 4, pp. 1265-1278
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E. I. Bunina. Elementary equivalence of unitary linear groups over fields. Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 4, pp. 1265-1278. http://geodesic.mathdoc.fr/item/FPM_1998_4_4_a7/
@article{FPM_1998_4_4_a7,
author = {E. I. Bunina},
title = {Elementary equivalence of unitary linear groups over fields},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {1265--1278},
year = {1998},
volume = {4},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_1998_4_4_a7/}
}
TY - JOUR
AU - E. I. Bunina
TI - Elementary equivalence of unitary linear groups over fields
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 1998
SP - 1265
EP - 1278
VL - 4
IS - 4
UR - http://geodesic.mathdoc.fr/item/FPM_1998_4_4_a7/
LA - ru
ID - FPM_1998_4_4_a7
ER -
%0 Journal Article
%A E. I. Bunina
%T Elementary equivalence of unitary linear groups over fields
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 1998
%P 1265-1278
%V 4
%N 4
%U http://geodesic.mathdoc.fr/item/FPM_1998_4_4_a7/
%G ru
%F FPM_1998_4_4_a7
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.
