Zobrazeno 1 - 10
of 166
pro vyhledávání: '"Nanda, Neha"'
In this article, we show that, for every $n \geq 2$, the pure virtual twin group $PVT_n$ can be naturally described as a symmetric diagram group, a family of groups introduced by V. Guba and M. Sapir and associated to semigroup presentations. Inspire
Externí odkaz:
http://arxiv.org/abs/2305.11810
Publikováno v:
Journal of Pure and Applied Algebra 228 (2024),107713, 27 pp
The virtual braid group $VB_n$, the virtual twin group $VT_n$ and the virtual triplet group $VL_n$ are extensions of the symmetric group $S_n$, which are motivated by the Alexander-Markov correspondence for virtual knot theories. The kernels of natur
Externí odkaz:
http://arxiv.org/abs/2303.09804
Publikováno v:
In Journal of Pure and Applied Algebra November 2024 228(11)
Publikováno v:
Journal of Group Theory 27 (2024), 443--483
Twin groups and virtual twin groups are planar analogues of braid groups and virtual braid groups, respectively. These groups play the role of braid groups in the Alexander-Markov correspondence for the theory of stable isotopy classes of immersed ci
Externí odkaz:
http://arxiv.org/abs/2109.13035
Publikováno v:
Monatshefte fuer Mathematik 202 (2023), 555--582
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 virtual knot theory, a far reaching generalisation of classical knot t
Externí odkaz:
http://arxiv.org/abs/2008.10035
Autor:
Nanda, Neha, Singh, Mahender
Publikováno v:
New York Journal of Mathematics 27 (2021), 272--295
Study of certain isotopy classes of a finite collection of immersed circles without triple or higher intersections on closed oriented surfaces can be thought of as a planar analogue of virtual knot theory where the genus zero case corresponds to clas
Externí odkaz:
http://arxiv.org/abs/2006.07205
Publikováno v:
Journal of Knot Theory and its Ramifications 29 (2020), 2042006, 14 pp
The twin group $T_n$ is a right angled Coxeter group generated by $n- 1$ involutions and having only far commutativity relations. These groups can be thought of as planar analogues of Artin braid groups. In this note, we study some properties of twin
Externí odkaz:
http://arxiv.org/abs/1912.01466
Publikováno v:
Forum Mathematicum 32 (2020), 1095--1108
The twin group $T_n$ is a right angled Coxeter group generated by $n-1$ involutions and the pure twin group $PT_n$ is the kernel of the natural surjection from $T_n$ onto the symmetric group on $n$ symbols. In this paper, we investigate some structur
Externí odkaz:
http://arxiv.org/abs/1906.06723
Publikováno v:
Journal of Knot Theory and Its Ramifications (2020)
We study groups of some virtual knots with small number of crossings and prove that there is a virtual knot with long lower central series which, in particular, implies that there is a virtual knot with residually nilpotent group. This gives a possib
Externí odkaz:
http://arxiv.org/abs/1811.09434
The aim of this paper is to propose a theory of derivations for quandles. Given a quandle $A$ admitting an action by a quandle $Q$, derivations from $Q$ to $A$ are introduced as twisted analogues of quandle homomorphisms. It is shown that for each qu
Externí odkaz:
http://arxiv.org/abs/1804.01113