Decomposition of Unitary Linear Groups into Products of Free Factors
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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 in which the elementary unitary subgroup belongs to one of these factors.
KeywordsUnitary Group Associative Algebra Free Product Group Algebra Matrix Algebra
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- 2.V. N. Gerasimov, “The group of units of a free product of rings,” Mat. Sb., 134, 42–65 (1987).Google Scholar