9 citations · 53 across the 12 of their papers we have counts for
5 papers · 1 filter
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…
Finiteness of canonical quotients of Dehn quandles of surfaces
Neeraj K. Dhanwani, Mahender Singh
The Dehn quandle of a closed orientable surface is the set of isotopy classes of non-separating simple closed curves with a natural quandle structure arising from Dehn twists. In t…
Enhancements of link colorings via idempotents of quandle rings
Mohamed Elhamdadi, Brandon Nunez, Mahender Singh
We show that quandle rings and their idempotents lead to proper enhancements of the well-known quandle coloring invariant of links in the 3-space. We give explicit examples to show…
Idempotents, free products and quandle coverings
Mohamed Elhamdadi, Brandon Nunez, Mahender Singh +1
In this paper, we investigate idempotents in quandle rings and relate them with quandle coverings. We prove that integral quandle rings of quandles of finite type that are non-triv…
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…