activity
20092020
most citedOn free subgroups in maximal subgroups of skew linear groups

5 citations · 14 across the 9 of their papers we have counts for

collaborators

11 papers

math.RA2020

Algebraic commutators with respect to subnormal subgroups in division rings

Mai Hoang Bien, Bui Xuan Hai, Vu Mai Trang

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

math.RA2020

Multiplicative Subgroups in weakly locally finite division rings

Bui Xuan Hai, Huynh Viet Khanh

The description of the subgroup structure of a non-commutative division ring is the subject of the intensive study in the theory of division rings in particular, and of the theory…

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 be a division ring, a positive integer, and GL the general linear group of degree over . In this paper, we study the induced subgraph of the intersection…

math.RA2018★ 4 cited

A note on solvable maximal subgroups in subnormal subgroups of

Huynh Viet Khanh, Bui Xuan Hai

Let be a non-commutative division ring, a subnormal subgroup of . In this note we show that if contains a non-abelian solvable maximal subgroup, then…

math.RA2018★ 2 cited

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

Bui Xuan Hai, Mai Hoang Bien

Let be a division ring with center and a subnormal subgroup of the multiplicative group of . Assume that contains a non-abelian solvable subgroup. In this…

math.RA2018★ 5 cited

On free subgroups in maximal subgroups of skew linear groups

Bui Xuan Hai, Huynh Viet Khanh

The study of the existence of free groups in skew linear groups have been begun since the last decades of the 20-th century. The starting point is the theorem of Tits (1972), now o…