From the 1 of 8 linked papers with an AI index.
8 papers
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…
Torsion subgroups of Whitehead groups of graded division algebras
Huynh Viet Khanh, Nguyen Duc Anh Khoa, Nguyen Dinh Anh Khoi
The paper investigates the torsion subgroup of the Whitehead group of a graded division algebra, deriving explicit formulas for this subgroup in unramified, totally ramified, and s…
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,Ï)^\ti…
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…
On Congruence Theorem for valued division algebras
Huynh Viet Khanh, Nguyen Duc Anh Khoa
Let be a field equipped with a Henselian valuation, and let be a tame central division algebra over the field . Denote by the torsion subgroup of the…