9 citations · 33 across the 10 of their papers we have counts for
10 papers
Quasitoric representation of generalized braids
Neha Nanda, Manpreet Singh
In this paper, we define generalized braid theories in alignment with the language of Fenn and Bartholomew for knot theories, and compute a generating set for the pure generalized…
Right-angled Artin groups are symmetric diagram groups
Paolo Bellingeri, Anthony Genevois, Neha Nanda
In this article, we show that, for every , the pure virtual twin group can be naturally described as a symmetric diagram group, a family of groups introduced by V…
Commutator subgroups and crystallographic quotients of virtual extensions of symmetric groups
Pravin Kumar, Tushar Kanta Naik, Neha Nanda +1
The virtual braid group , the virtual twin group and the virtual triplet group are extensions of the symmetric group , which are motivated by the Alexander…
Virtual planar braid groups and permutations
Tushar Kanta Naik, Neha Nanda, Mahender Singh
Twin groups and virtual twin groups are planar analogues of braid groups and virtual braid groups, respectively. These groups play the role of braid groups in the Alexander-Markov…
Structure and automorphisms of pure virtual twin groups
Tushar Kanta Naik, Neha Nanda, Mahender Singh
Study of stable isotopy classes of a finite collection of immersed circles without triple or higher intersections on closed oriented surfaces is considered as a planar analogue of…
Alexander and Markov theorems for virtual doodles
Neha Nanda, Mahender Singh
Study of certain isotopy classes of a finite collection of immersed circles without triple or higher intersections on closed oriented surfaces can be thought of as a planar analogu…
Some remarks on twin groups
Tushar Kanta Naik, Neha Nanda, Mahender Singh
The twin group is a right angled Coxeter group generated by involutions and having only far commutativity relations. These groups can be thought of as planar analogues…
Conjugacy classes and automorphisms of twin groups
Tushar Kanta Naik, Neha Nanda, Mahender Singh
The twin group is a right angled Coxeter group generated by involutions and the pure twin group is the kernel of the natural surjection from onto the symme…
On the lower central series of some virtual knot groups
Valeriy G. Bardakov, Neha Nanda, Mikhail V. Neshchadim
We study groups of some virtual knots with small number of crossings and prove that there is a virtual knot with long lower central series which, in particular, implies that there…
Derivations of quandles
Neha Nanda, Mahender Singh, Manpreet Singh
The aim of this paper is to propose a theory of derivations for quandles. Given a quandle admitting an action by a quandle , derivations from to are introduced as tw…