8 citations · 14 across the 13 of their papers we have counts for
13 papers
General linear and Steinberg groups over the Leavitt algebra
Huynh Viet Khanh
Let $R=L_{\F_2}(1,2)$. We prove that $\GL_r(R)$ is integrally acyclic for every and that the canonical map $\St_r(R)\to\GL_r(R)$ is an isomorphism for every . The…
The group of graded and valued division algebras
Huynh Viet Khanh, Nguyen Duc Anh Khoa, Adrian R. Wadsworth
For a division algebra , let and let be the torsion subgroup of the abelian group . We study this torsion group for gr…
Matrix generators for the unit groups of
Huynh Viet Khanh, Vo Hoang Thanh
Let be a field and put . Ordered leaf sets in the rooted -ary tree determine copies of general linear groups over inside . We pro…
Free subgroups in weighted Leavitt Path Algebras
Huynh Viet Khanh
We study unit groups of weighted Leavitt path algebras. Let be a field of characteristic and let be a finite connected weighted graph. We prove that $L_K(E,ω)^\time…
Abelian maximal subgroups of valued division algebras
Huynh Viet Khanh
Let be a division ring. We study when the multiplicative group can contain an abelian maximal subgroup. We prove that this cannot occur for any noncommutative tame finite…
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 , of the Whitehead group of a graded division algebra which is finite dimension…
Subnormal subgroups of almost locally simple artinian algebras with involutions
Dau Thi Hue, Huynh Viet Khanh, Bui Xuan Hai
In this paper, we investigate subnormal subgroups of the multiplicative group of an almost locally simple artinian algebra with involution. In particular, we show that if either th…
Multiplicative groups of Leavitt path algebras
Bui Xuan Hai, Huynh Viet Khanh
In this paper, we prove that the multiplicative group of a unital non-commutative Leavitt path algebra and Cohn path algebra contain a non-cyclic free subgroup, p…
Leavitt path algebras in which every Lie ideal is an ideal and applications
Huynh Viêt Khánh
In this paper, we classify all Leavitt path algebras which have the property that every Lie ideal is an ideal. As an application, we show that Leavitt path algebras with this prope…
Locally solvable maximal subgroups in division rings
Huynh Viet Khanh, Bui Xuan Hai
Let be a division ring with center , and an almost subnormal subgroup of . In this paper, we show that if contains a non-abelian locally solvable maximal subgro…
Locally solvable subnormal and quasinormal subgroups of division rings
Le Qui Danh, Huynh Viet Khanh
Let be a division ring with center , and a subnormal or quasinormal subgroup of . We show that if is locally solvable, then is contained in .
Locally solvable and solvable-by-finite maximal subgroups of
Huynh Viet Khanh, Bui Xuan Hai
This paper aims at studying solvable-by-finite and locally solvable maximal subgroups of an almost subnormal subgroup of the general skew linear group $\GL_n(D)$ over a division ri…
Generalized power central group identities in almost subnormal subgroups of $\GL_n(D)$
Bui Xuan Hai, Huynh Viet Khanh, Mai Hoang Bien
In this paper, we study almost subnormal subgroups of the general linear group $\GL_n(D)$ of degree over a division ring that satisfy a generalized power central group…