Zobrazeno 1 - 10
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pro vyhledávání: '"Bellingeri, Paolo"'
Following previous work on congruence subgroups and crystallographic braid groups, we study the lower central series of congruence braid groups related to the braid group $B_3$, showing in particular that corresponding quotients are almost crystallog
Externí odkaz:
http://arxiv.org/abs/2404.05804
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
Cactus groups Jn are currently attracting considerable interest from diverse mathematical communities. This work explores their relations to right-angled Coxeter groups, and in particular twin groups Twn and Mostovoy's Gauss diagram groups Dn, which
Externí odkaz:
http://arxiv.org/abs/2209.08813
We show that the crystallographic braid group $B_n/[P_n,P_n]$ embeds naturally in the group of unrestricted virtual braids $UVB_n$, we give new proofs of known results about the torsion elements of $B_n/[P_n,P_n]$, and we characterise the torsion ele
Externí odkaz:
http://arxiv.org/abs/2202.13792
Starting from the observation that the standard presentation of a virtual braid group mixes the standard presentation of the corresponding braid group with the standard presentation of the corresponding symmetric group and some mixed relations that m
Externí odkaz:
http://arxiv.org/abs/2110.14293
Autor:
Bellingeri, Paolo, Soulié, Arthur
In this note, we adapt the procedure of the Long-Moody procedure to construct linear representations of welded braid groups. We exhibit the natural setting in this context and compute the first examples of representations we obtain thanks to this met
Externí odkaz:
http://arxiv.org/abs/2001.04272
Publikováno v:
Math. Proc. Camb. Phil. Soc. 172 (2022) 373-399
Generalising previous results on classical braid groups by Artin and Lin, we determine the values of m, n $\in$ N for which there exists a surjection between the n-and m-string braid groups of an orientable surface without boundary. This result is es
Externí odkaz:
http://arxiv.org/abs/1810.12214
Autor:
Bellingeri, Paolo, Paris, Luis
Let VB$_n$ be the virtual braid group on $n$ strands and let $\mathfrak{S}_n$ be the symmetric group on $n$ letters. Let $n,m \in \mathbb{N}$ such that $n \ge 5$, $m \ge 2$ and $n \ge m$. We determine all possible homomorphisms from VB$_n$ to $\mathf
Externí odkaz:
http://arxiv.org/abs/1808.10301
Publikováno v:
J. Knot Theory Ramifications 24, 1550063 (2015)
We consider the group of unrestricted virtual braids, describe its structure and explore its relations with fused links. Also, we define the groups of flat virtual braids and virtual Gauss braids and study some of their properties, in particular thei
Externí odkaz:
http://arxiv.org/abs/1603.01209
Publikováno v:
Michigan Math. J. 67 (2018) 647-672
In the present paper, we consider local moves on classical and welded diagrams: (self-)crossing change, (self-)virtualization, virtual conjugation, Delta, fused, band-pass and welded band-pass moves. Interrelationship between these moves is discussed
Externí odkaz:
http://arxiv.org/abs/1510.04237