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Статья

Decomposition of Unitary Linear Groups into Products of Free Factors

Journal of Mathematical Sciences. 2015. Vol. 206. No. 6. P. 629-633.
Бунина Е. И., Trushin D., Tsvetkov M.

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 in which the elementary unitary subgroup belongs to one of these factors.