Výsledky vyhledávání - "John Guaschi"

Embeddings of finite groups in B n /Γ k (P n ) for k=2,3

Autor: Daciberg Lima Gonçalves, Oscar Ocampo, John Guaschi

Publikováno v: Annales de l'Institut Fourier. 70:2005-2025

Let $n \geq 3$. In this paper, we study the problem of whether a given finite group $G$ embeds in a quotient of the form $B_n/\Gamma_k(P_n)$, where $B_n$ is the $n$-string Artin braid group, $k \in \{2, 3\}$, and $\{\Gamma_l(P_n)\}_{l\in N}$ is the l

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::1baffe5a982abc70e9b3c9ef2cbe1c17
https://doi.org/10.5802/aif.3380

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Lower central series, surface braid groups, surjections and permutations

Autor: Paolo Bellingeri, Daciberg Lima Gonçalves, John Guaschi

Publikováno v: Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Math. Proc. Cambridge Philos. Soc.
Math. Proc. Cambridge Philos. Soc., In press

Generalising previous results on classical braid groups by Artin and Lin, we determine the values of m, n ∈ $\mathbb N$ for which there exists a surjection between the n- and m-string braid groups of an orientable surface without boundary. This res

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https://doi.org/10.1017/s0305004121000244

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Unrestricted virtual braids and crystallographic braid groups

Autor: Paolo Bellingeri, John Guaschi, Stavroula Makri

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

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http://arxiv.org/abs/2202.13792

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Crystallographic groups and flat manifolds from surface braid groups

Autor: Daciberg Lima Gonçalves, John Guaschi, Oscar Ocampo, Carolina de Miranda e Pereiro

Publikováno v: Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Journal of Algebra
Journal of Algebra, Elsevier, 2021, 293, pp.107560. ⟨10.1016/j.topol.2020.107560⟩

Let M be a compact surface without boundary, and n ≥ 2 . We analyse the quotient group B n ( M ) / Γ 2 ( P n ( M ) ) of the surface braid group B n ( M ) by the commutator subgroup Γ 2 ( P n ( M ) ) of the pure braid group P n ( M ) . If M is dif

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http://arxiv.org/abs/2107.03683

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A Classification of braid types for periodic orbits of diffeomorphisms of surfaces of genus one with topological entropy zero

Autor: John Guaschi, Jaume Llibre, Robert S. MacKay

Publikováno v: Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Recercat. Dipósit de la Recerca de Catalunya
instname
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Publicacions Matemàtiques; Vol. 35, Núm. 2 (1991); p. 543-558

We classify the braid types that can occur for finite unions of periodic orbits of diffeomorphisms of surfaces of genus one with zero topological entropy.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fe25be4e889f5b384a92fa8a9f267efe
http://hdl.handle.net/2072/391444

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Lower central and derived series of semi-direct products, and applications to surface braid groups

Autor: Carolina de Miranda e Pereiro, John Guaschi

Publikováno v: Journal of Pure and Applied Algebra
Journal of Pure and Applied Algebra, Elsevier, 2020, 224 (7), pp.106309. ⟨10.1016/j.jpaa.2020.106309⟩

For an arbitrary semi-direct product, we give a general description of its lower central series and an estimation of its derived series. In the second part of the paper, we study these series for the full braid group B n ( M ) and pure braid group P

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1eba9acb086f7e2c2e5ee788c54e08a5
https://hal.archives-ouvertes.fr/hal-01714012v2/document

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The Borsuk-Ulam property for homotopy classes of maps from the torus to the Klein bottle

Autor: Daciberg Lima Gonçalves, John Guaschi, Vinicius Casteluber Laass

Publikováno v: Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Topol. Methods Nonlinear Anal. 56, no. 2 (2020), 529-558

Let $M$ be a topological space that admits a free involution $\tau$, and let $N$ be a topological space. A homotopy class $\beta \in [ M,N ]$ is said to have {\it the Borsuk-Ulam property with respect to $\tau$} if for every representative map $f\col

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