1 citations · 1 across the 13 of their papers we have counts for
14 papers
Finitely presented kernels of right-angled Artin groups with abelian quotients
Mallika Roy
In this article, we characterise when the kernels of right-angled Artin groups with abelian quotients are finitely generated and finitely presented -- exhibiting an explicit finite…
Endo-Twisted Conjugacy and Outer Fixed Points in Solvable Baumslag--Solitar Groups
Mallika Roy
In this article, we solve the twisted conjugacy problem with respect to endomorphisms for solvable Baumslag--Solitar groups , i.e., we propose an algorithm which, given tw…
The finitely generated intersection property in fundamental groups of graphs of groups
Jordi Delgado, Marco Linton, Jone Lopez de Gamiz Zearra +2
A group is said to satisfy the finitely generated intersection property (f.g.i.p.) if the intersection of any two finitely generated subgroups of is again finitely generate…
Twisted conjugacy in
Oorna Mitra, Mallika Roy, Enric Ventura
In this article, we solve the twisted conjugacy problem for solvable Baumslag--Solitar groups , i.e., we propose an algorithm which, given two elements a…
Pullbacks and intersections in categories of graphs of groups
Jordi Delgado, Marco Linton, Jone Lopez de Gamiz Zearra +2
We develop a categorical framework for studying graphs of groups and their morphisms, with emphasis on pullbacks. More precisely, building on classical work by Serre and Bass, we g…
Bogomolov multipliers of word labelled oriented graph groups
Mallika Roy
A group, whose presentation is explicitly derived in a certain way from a word labelled oriented graph (in short, WLOG), is called a WLOG group. In this work, we study homological…
Presentation of kernels of rational characters of right-angled Artin groups
Montserrat Casals-Ruiz, Ilya Kazachkov, Mallika Roy
In this note, we characterise when the kernel of a rational character of a right-anlged Artin group, also known as generalised Bestiva-Brady group, is finitely generated and finite…
Quotient-saturated groups
Jordi Delgado, Mallika Roy, Enric Ventura
We introduce the new notion of quotient-saturation as a measure of the immensity of the quotient structure of a group. We present a sufficient condition for a finitely presented gr…
Computation of endo-fixed closures in free-abelian times free groups
Mallika Roy, Enric Ventura
In this paper, we explore the behaviour of the fixed subgroups of endomorphisms of free-abelian times free (FATF) groups. We exhibit an algorithm which, given a finitely generated…
The central tree property and algorithmic problems on subgroups of free groups
Mallika Roy, Enric Ventura, Pascal Weil
We study the average case complexity of the uniform membership problem for subgroups of free groups, and we show that it is orders of magnitude smaller than the worst case complexi…
On the structure of finitely presented Bestvina-Brady groups
Priyavrat Deshpande, Mallika Roy
Right-angled Artin groups and their subgroups are of great interest because of their geometric, combinatorial and algorithmic properties. It is convenient to define these groups us…
Intersection configurations in free and free times free-abelian groups
Jordi Delgado, Mallika Roy, Enric Ventura
In this paper we study intersection configurations -- which describe the behaviour of multiple (finite) intersections of subgroups with respect to finite generability -- in the rea…
Fixed subgroups and computation of auto-fixed closures in free-abelian times free groups
Mallika Roy, Enric Ventura
The classical result by Dyer--Scott about fixed subgroups of finite order automorphisms of being free factors of is no longer true in . Within this more…
Degrees of compression and inertia for free-abelian times free groups
Mallika Roy, Enric Ventura
We introduce the concepts of degree of inertia, , and degree of compression, , of a finitely generated subgroup of a given group . For the ca…