M. H. Bien

activity

20102022

most citedIntersection graphs of almost subnormal subgroups in general skew linear groups

2 citations · 3 across the 6 of their papers we have counts for

collaborators

9 papers

math.RA2022

Products of Unipotent Elements in Certain Algebras

M. H. Bien, P. V. Danchev, M. Ramezan-Nassab +1

Let $F$ be a field with at least three elements and $G$ a locally finite group. This paper aims to show that if either $F$ is algebraically closed or the characteristic of $F$ is p…

math.RA2020

Algebraic commutators with respect to subnormal subgroups in division rings

Mai Hoang Bien, Bui Xuan Hai, Vu Mai Trang

Let $D$ be a division ring and $K$ a subfield of $D$ which is not necessarily contained in the center $F$ of $D$ . In this paper, we study the structure of $D$ under the condition o…

math.RA2020★ 2 cited

Intersection graphs of almost subnormal subgroups in general skew linear groups

Bui Xuan Hai, Binh-Minh Bui-Xuan, Le Van Chua +1

Let $D$ be a division ring, $n$ a positive integer, and GL $_{n} (D)$ the general linear group of degree $n$ over $D$ . In this paper, we study the induced subgraph of the intersection…

math.RA2019★ 1 cited

Self-Invariant Maximal Subfields and Their Connexion with Some Conjectures in Division Rings

Mehdi Aaghabali, M. H. Bien

Let D be a division algebra with center F. A maximal subfield of D is defined to be a field K such that CD(K) = K; that is, K is its own centralizer in D. A maximal subfield K is s…

math.RA2018

On subnormal subgroups in division rings containing a non-abelian solvable subgroup

Bui Xuan Hai, Mai Hoang Bien

Let $D$ be a division ring with center $F$ and $N$ a subnormal subgroup of the multiplicative group $D^{*}$ of $D$ . Assume that $N$ contains a non-abelian solvable subgroup. In this…

math.RA2018

A note On subgroups in a division ring that are left algebraic over a division subring

Bui Xuan Hai, Vu Mai Trang, Mai Hoang Bien

Let $D$ be a division ring with center $F$ and $K$ a division subring of $D$ . In this paper, we show that a non-central normal subgroup $N$ of the multiplicative group $D^{*}$ is lef…