FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2013, VOLUME 18, NUMBER 4, PAGES 33-39

Decomposition of unitary linear groups into products of free factors

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

Abstract

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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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Last modified: May 13, 2014