Journal of Mathematical Sciences

, Volume 206, Issue 6, pp 629–633 | Cite as

Decomposition of Unitary Linear Groups into Products of Free Factors

  • E. I. Bunina
  • D. V. Trushin
  • M. V. Tsvetkov


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.


Unitary Group Associative Algebra Free Product Group Algebra Matrix Algebra 
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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  • E. I. Bunina
    • 1
  • D. V. Trushin
    • 2
  • M. V. Tsvetkov
    • 1
  1. 1.Moscow State UniversityMoscowRussia
  2. 2.Hebrew University of JerusalemJerusalemIsrael

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