9 citations · 53 across the 12 of their papers we have counts for
4 papers · 1 filter
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…
Congruence subgroups and crystallographic quotients of small Coxeter groups
Pravin Kumar, Tushar Kanta Naik, Mahender Singh
Small Coxeter groups are precisely the ones for which the Tits representation is integral, which makes the study of their congruence subgroups relevant. The symmetric group h…
Presentations of Dehn quandles
Neeraj K. Dhanwani, Hitesh Raundal, Mahender Singh
The paper gives two approaches to write explicit presentations for the class of Dehn quandles using presentations of their underlying groups. The first approach gives finite presen…
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…