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20082026
most citedAnabranch Network for Camouflaged Object Segmentation

753 citations

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12 papers · 1 filter

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.RA2019

Permutable subgroups in $\GL_n(D)$ and applications to locally finite group algebras

Le Qui Danh, Mai Hoang Bien, Bui Xuan Hai

In this paper we study the existence of free non-abelian subgroups in non-central permutable subgroups of general skew linear groups and locally finite group algebras.

math.RA2019

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…

math.RA2019★ 8 cited

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 .

math.RA2018★ 3 cited

On locally solvable subgroups in division rings

Huynh Viet Khanh

Let be a division ring with center , and a subnormal subgroup of . We show that if is a locally solvable group such that is algebraic over , then $…

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…

math.RA2018★ 3 cited

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 be a division ring with center and a division subring of . In this paper, we show that a non-central normal subgroup of the multiplicative group is lef…

math.RA2015

On weakly locally finite division rings

Trinh Thanh Deo, Mai Hoang Bien, Bui Xuan Hai

Weakly locally finite division rings were considered in \cite{dbh}, where it was mentioned that the class of weakly locally finite division rings properly contains the class of loc…

math.RA2013★ 7 cited

On multiplicative subgroups in division rings

Bui Xuan Hai, Nguyen Anh Tu

Let be a division ring. In this paper, we investigate properties of subgroups of an arbitrary subnormal subgroup of the multiplicative group of . The new obtained resu…

math.RA2010★ 8 cited

On locally solvable maximal subgroups of the multiplicative group of a division ring

Bui Xuan Hai, Dang Vu Phuong Ha

Let be a division ring and be the multiplicative group of . In this paper we study locally solvable maximal subgroups of .

math.RA2010★ 7 cited

On subgroups in division rings of type

Bui Xuan Hai, Trinh Thanh Deo, Mai Hoang Bien

Let be a division ring with center . We say that is a {\em division ring of type } if for every two elements the division subring is a finite d…

math.RA2009★ 1 cited

On the proof of some theorem on locally nilpotent subgroups in division rings

Bui Xuan Hai, Nguyen Van Thin

In Hai-Thin (2009), there is a theorem, stating that every locally nilpotent subnormal subgroup in a division ring is central (see Hai-Thin (2009, Th. 2.2)). Unfortunately, the…