Advertisement

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
Article
  • 17 Downloads

Abstract

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.

Keywords

Unitary Group Associative Algebra Free Product Group Algebra Matrix Algebra 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    G. M. Bergman, “Modules over coproducts of rings,” Trans. Am. Math. Soc., 200, 1–32 (1974).CrossRefzbMATHMathSciNetGoogle Scholar
  2. 2.
    V. N. Gerasimov, “The group of units of a free product of rings,” Mat. Sb., 134, 42–65 (1987).Google Scholar
  3. 3.
    O. T. O’Meara, Lectures on Symplectic Groups, Amer. Math. Soc., Providence (1978).CrossRefGoogle Scholar
  4. 4.
    P. Schupp and R. Lindon, Combinatorial Group Theory, Springer, Berlin (1977).zbMATHGoogle Scholar

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

Personalised recommendations