Zobrazeno 1 - 10
of 1 137
pro vyhledávání: '"Mahender, P."'
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 $\Gamma$, they defined the virtual Artin group $VA[\Gamma]$, which is generated by t
Externí odkaz:
http://arxiv.org/abs/2409.10270
In this paper, we explore linear representations of skew left braces, which are known to provide bijective non-degenerate set-theoretical solutions to the Yang--Baxter equation that are not necessarily involutive. A skew left brace $(A, \cdot, \circ)
Externí odkaz:
http://arxiv.org/abs/2408.03766
We give an alternate proof of the left-orderability of the mapping class group of a connected oriented infinite-type surface with a non-empty boundary. Our main strategy involves the inductive construction of a countable stable Alexander system for t
Externí odkaz:
http://arxiv.org/abs/2407.14343
It is well-known that the cohomology of symmetric quandles generates robust cocycle invariants for unoriented classical and surface links. Expanding on the recently introduced module-theoretic generalized cohomology for symmetric quandles, we derive
Externí odkaz:
http://arxiv.org/abs/2407.02971
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 the generalised word problem for quandles. We prove that the funda
Externí odkaz:
http://arxiv.org/abs/2403.17703
A quandle equipped with a good involution is referred to as symmetric. It is known that the cohomology of symmetric quandles gives rise to strong cocycle invariants for classical and surface links, even when they are not necessarily oriented. In this
Externí odkaz:
http://arxiv.org/abs/2401.14143
Publikováno v:
New York Journal of Mathematics 30 (2024) 1235--1263
Twin groups are planar analogues of Artin braid groups and play a crucial role in the Alexander-Markov correspondence for the isotopy classes of immersed circles on the 2-sphere without triple and higher intersections. These groups admit diagrammatic
Externí odkaz:
http://arxiv.org/abs/2312.16567
In this paper, generalising the idea of the Rokhlin property, we explore the concept of the twisted Rokhlin property of topological groups. A topological group is said to exhibit the twisted Rokhlin property if, for each automorphism $\phi$ of the gr
Externí odkaz:
http://arxiv.org/abs/2312.02539
Publikováno v:
Journal of Algebra 657 (2024), 327--362
Relative Rota-Baxter groups are generalizations of Rota-Baxter groups and share a close connection with skew left braces. These structures are well-known for offering bijective non-degenerate set-theoretical solutions to the Yang-Baxter equation. Thi
Externí odkaz:
http://arxiv.org/abs/2311.12384
Autor:
Mayank Rashmi, Sneha Murmu, Mahender Kumar Singh, Raja Shankar, Anurag Chaurasia, Girish Kumar Jha, Sunil Kumar
Publikováno v:
ACS Omega, Vol 9, Iss 47, Pp 46974-46985 (2024)
Externí odkaz:
https://doaj.org/article/35dc6659b6644beeac9c9b390bbb50f1
