Khánh Việt Huỳnh

collaborators

7 papers

math.KT2026

General linear and Steinberg groups over the Leavitt algebra $L_{F_{2}} (1, 2)$

Huynh Viet Khanh

Let $R=L_{\F_2}(1,2)$. We prove that $\GL_r(R)$ is integrally acyclic for every $r \geq 1$ and that the canonical map $\St_r(R)\to\GL_r(R)$ is an isomorphism for every $r \geq 3$ . The…

math.RA2026

The group $TK_{1}$ of graded and valued division algebras

Huynh Viet Khanh, Nguyen Duc Anh Khoa, Adrian R. Wadsworth

For a division algebra $D$ , let $K_{1} (D) = D^{*} / [D^{*}, D^{*}]$ and let $TK_{1} (D)$ be the torsion subgroup of the abelian group $K_{1} (D)$ . We study this torsion group for gr…

math.RA2026

Matrix generators for the unit groups of $L_{K} (1, d)$

Huynh Viet Khanh, Vo Hoang Thanh

Let $K$ be a field and put $L_{d} = L_{K} (R_{d}) ≅ L_{K} (1, d)$ . Ordered leaf sets in the rooted $d$ -ary tree determine copies of general linear groups over $K$ inside $L_{d}^{\times}$ . We pro…

math.RA2026

Free subgroups in weighted Leavitt Path Algebras

Huynh Viet Khanh

We study unit groups of weighted Leavitt path algebras. Let $K$ be a field of characteristic $0$ and let $(E, ω)$ be a finite connected weighted graph. We prove that $L_K(E,ω)^\time…

math.GR2026

Abelian maximal subgroups of valued division algebras

Huynh Viet Khanh

Let $D$ be a division ring. We study when the multiplicative group $D^{*}$ can contain an abelian maximal subgroup. We prove that this cannot occur for any noncommutative tame finite…

math.RA2024

Torsion subgroups of Whitehead groups of graded division algebras

Huynh Viet Khanh, Nguyen Duc Anh Khoa, Nguyen Dinh Anh Khoi

In this paper, we study the torsion subgroup, which is denoted by $TK_{1} (E)$ , of the Whitehead group $E^{*} / [E^{*}, E^{*}]$ of a graded division algebra $E$ which is finite dimension…

General linear and Steinberg groups over the Leavitt algebra LF2​​(1,2)

The group TK1​ of graded and valued division algebras

Matrix generators for the unit groups of LK​(1,d)

Free subgroups in weighted Leavitt Path Algebras

Abelian maximal subgroups of valued division algebras

Torsion subgroups of Whitehead groups of graded division algebras

General linear and Steinberg groups over the Leavitt algebra $L_{F_{2}} (1, 2)$

The group $TK_{1}$ of graded and valued division algebras

Matrix generators for the unit groups of $L_{K} (1, d)$