Finiteness of canonical quotients of Dehn quandles of surfaces

NK Dhanwani, M Singh - Journal of the Australian Mathematical …, 2024 - cambridge.org
The Dehn quandle of a closed orientable surface is the set of isotopy classes of
nonseparating simple closed curves with a natural quandle structure arising from Dehn …

Conjugation groups and structure groups of quandles

V Lebed - arXiv preprint arXiv:2407.02955, 2024 - arxiv.org
Quandles are certain algebraic structures showing up in different mathematical contexts. A
group $ G $ with the conjugation operation forms a quandle, $\operatorname {Conj}(G) $. In …

Residual finiteness of fundamental -quandles of links

NK Dhanwani, D Saraf, M Singh - arXiv preprint arXiv:2403.17703, 2024 - arxiv.org
In this paper, we investigate residual finiteness and subquandle separability of quandles.
The existence of these finiteness properties implies the solvability of the word problem and …

[引用][C] Associated groups of involutive quandles and their second quandle homology

長谷川蒼 - 2024 - 北海道大学