N. K. Dhanwani

activity

20192024

most citedDehn quandles of groups and orientable surfaces

7 citations · 14 across the 10 of their papers we have counts for

collaborators

11 papers

math.GT2024

Liftable mapping class groups of regular abelian covers

Neeraj K. Dhanwani, Pankaj Kapari, Kashyap Rajeevsarathy +1

Let $S_{g}$ be the closed oriented surface of genus $g \geq 0$ , and let $Mod (S_{g})$ be the mapping class group of $S_{g}$ . For $g \geq 2$ , we develop an algorithm to obtain a fi…

math.GR2024

Linear representations, crystallographic quotients, and twisted conjugacy of virtual Artin groups

Neeraj Kumar Dhanwani, Pravin Kumar, Tushar Kanta Naik +1

Virtual Artin groups were recently introduced by Bellingeri, Paris, and Thiel as broad generalizations of the well-known virtual braid groups. For each Coxeter graph $Γ$ , they defi…

math.GT2024★ 1 cited

Fundamental $n$ -quandles of links are residually finite

Neeraj Kumar Dhanwani, Deepanshi Saraf, Mahender Singh

In this paper, we investigate the residual finiteness and subquandle separability of quandles, properties that respectively imply the solvability of the word problem and the genera…

math.GT2022

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…

math.GR2022★ 3 cited

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…

math.GT2021★ 2 cited

Generating the liftable mapping class groups of regular cyclic covers

Soumya Dey, Neeraj K. Dhanwani, Harsh Patil +1

Let $Mod (S_{g})$ be the mapping class group of the closed orientable surface of genus $g \geq 1$ , and let $LMod_{p} (X)$ be the liftable mapping class group associat…

math.GT2021★ 7 cited

Dehn quandles of groups and orientable surfaces

Neeraj K. Dhanwani, Hitesh Raundal, Mahender Singh

Unifying various constructions of quandles including Coxeter quandles, free quandles, knot quandles of prime knots and Dehn quandles of orientable surfaces, we introduce Dehn quand…

math.GT2020

Factoring periodic maps into Dehn twists

Neeraj K. Dhanwani, Ajay K. Nair, Kashyap Rajeevsarathy

Let $Mod (S_{g})$ be the mapping class group of the closed orientable surface $S_{g}$ of genus $g \geq 1$ . In this paper, we develop various methods for factoring periodic mappin…

math.GT2020

Split metacyclic actions on surfaces

Neeraj K. Dhanwani, Kashyap Rajeevsarathy, Apeksha Sanghi

Let $Mod (S_{g})$ be the mapping class group of the closed orientable surface $S_{g}$ of genus $g \geq 2$ . In this paper, we derive necessary and sufficient conditions under whi…

math.GT2019★ 1 cited

Liftable mapping class groups of regular cyclic covers

Nikita Agarwal, Soumya Dey, Neeraj K. Dhanwani +1

Let $Mod (S_{g})$ be the mapping class group of the closed orientable surface of genus $g \geq 1$ . For $k \geq 2$ , we consider the standard $k$ -sheeted regular cover $p_k: S_…

math.GT2019

Commuting conjugates of finite-order mapping classes

Neeraj K. Dhanwani, Kashyap Rajeevsarathy

Let $Mod (S_{g})$ be the mapping class group of the closed orientable surface $S_{g}$ of genus $g \geq 2$ . In this paper, we derive necessary and sufficient conditions for two fin…