Geodesic
Defining relations of the special unitary group over a quadratic extension of an ordered Euclidean field
Sbornik. Mathematics, Tome 54 (1986) no. 2, pp. 415-419 Cet article a éte moissonné depuis la source Math-Net.Ru

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Let $k$ be an ordered Euclidean field (i.e., an ordered field in which the group of nonzero squares coincides with the group of positive elements) and $K$ its quadratic extension. Further, let $\overline\xi$ denote the image of the element $\xi$ under the nontrivial automorphism of the extension $K/k$. We consider the special unitary group $SU(n, K)$ of degree $n\geqslant2$ over the field $K$, i.e., the subgroup of matrices $a$ of the general linear group $GL(n, K)$ for which $aa^*=e$ and $\det a=1$, where $^*$ denotes taking conjugate-transpose, i.e., $(a^*)_{ij}=\overline a_{ji}$. Defining relations in a certain natural system of generators are found for the group $SU(n,\, K)$, $n\geqslant2$. Bibliography: 8 titles. 
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     author = {Zh. S. Satarov},
     title = {Defining relations of the special unitary group over a~quadratic extension of an ordered {Euclidean} field},
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     url = {http://geodesic.mathdoc.fr/item/SM_1986_54_2_a7/}
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Zh. S. Satarov. Defining relations of the special unitary group over a quadratic extension of an ordered Euclidean field. Sbornik. Mathematics, Tome 54 (1986) no. 2, pp. 415-419. http://geodesic.mathdoc.fr/item/SM_1986_54_2_a7/

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