Geodesic
Decomposition of unitary linear groups into products of free factors
Fundamentalʹnaâ i prikladnaâ matematika, Tome 18 (2013) no. 4, pp. 33-39
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In this paper, we construct noncommutative algebras over a square-closed field such that the unitary linear groups over these algebras decompose to nontrivial free products. In particular, we give an example when the elementary unitary subgroup belongs to one of these factors. 
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E. I. Bunina; D. V. Trushin; M. V. Tsvetkov. Decomposition of unitary linear groups into products of free factors. Fundamentalʹnaâ i prikladnaâ matematika, Tome 18 (2013) no. 4, pp. 33-39. http://geodesic.mathdoc.fr/item/FPM_2013_18_4_a2/

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