Original scientific paper
https://doi.org/10.64785/mc.30.1.2
Covering numbers with involutions in decomposing infinite matrices
Huu Dung Truong
; Department of Mathematics, Dong Nai University, Dong Nai Province, Vietnam
*
Thi Thai Ha Nguyen
; Faculty of Mathematics and Computer Science, University of Science, Ho Chi Minh City, Vietnam
* Corresponding author.
Abstract
Let D be a division ring. The aim of this paper is to explore the problem
of decomposing an infinite matrix over D into a product of involutions and a product of
commutators of involutions within the context of covering numbers. Specifically, we focus
on decomposing matrices in the commutator subgroup \( SL_{V K,\infty}(D)\) of the Vershik–Kerov
group and in the subgroup \(SL_{\infty }(D)\) of the stable general linear group \(GL_{\infty }(D)\).
Keywords
division ring; matrix decomposition; commutator; involution; infinite matrix
Hrčak ID:
329403
URI
Publication date:
11.3.2025.
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