Zobrazeno 1 - 10
of 11
pro vyhledávání: '"Luis Jorge Sánchez Saldaña"'
Publikováno v:
Forum Mathematicum.
For a group G, let ℱ n {\mathcal{F}_{n}} be the family of all subgroups of G containing a subgroup of finite index isomorphic to ℤ r {\mathbb{Z}^{r}} for some r = 0 , 1 , 2 , … , n {r=0,1,2,\dots,n} . Joecken, Lafont and Sánchez Saldaña compu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::159767f50d53243fb6ba5a576e600d1a
https://doi.org/10.1515/forum-2022-0006
https://doi.org/10.1515/forum-2022-0006
Autor:
Luis Jorge Sánchez Saldaña
Publikováno v:
Proceedings of the American Mathematical Society. 148:5469-5479
We construct new examples of groups with cohomological dimension 2 and geometric dimension 3 with respect to the families of finite subgroups, virtually abelian groups of bounded rank, and the family of virtually poly-cyclic subgroups. Our main ingre
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::75ae88a99c3947bf68814dfd07a72314
https://doi.org/10.1090/proc/15203
https://doi.org/10.1090/proc/15203
Publikováno v:
Quaestiones Mathematicae; Vol. 44 No. 8 (2021); 1107-1132
Let G be a group, let H be a subgroup of G and let Or(G) be the orbit category. In this paper we extend the denition of the relative group homology theories of the pair (G;H) dened by Adamson and Takasu to have coecients in an Or(G)-module. There is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f8927afafbfb4b33ca7fd001e983b0d2
https://www.ajol.info/index.php/qm/article/view/215562
https://www.ajol.info/index.php/qm/article/view/215562
Publikováno v:
Journal of Pure and Applied Algebra. 226:106981
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7b5fdb8403a860ddd3475ccbf02745ff
https://doi.org/10.1016/j.jpaa.2021.106981
https://doi.org/10.1016/j.jpaa.2021.106981
Autor:
Luis Jorge Sánchez Saldaña
We prove that the Bredon cohomological dimension and the virtual cohomological dimension coincide for groups that admit a cocompact model for $\underline{E}G$ and satisfy properties (M) and (NM). Among the examples of groups satisfying these hypothes
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::beb15db989eeb79a54a51b1e1507094b
http://arxiv.org/abs/2001.09185
http://arxiv.org/abs/2001.09185
Let $G$ be a group and $\mathcal{F}$ be a family of subgroups closed under conjugation and subgroups. A model for the classifying space $E_{\mathcal{F}} G$ is a $G$-CW-complex $X$ such that every isotropy group belongs to $\mathcal{F}$, and for all $
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8715d4cb0838876eaae8246feb7be9a2
http://arxiv.org/abs/1908.05543
http://arxiv.org/abs/1908.05543
Let G be the fundamental group of a connected, closed, orientable 3-manifold. We explicitly compute its virtually cyclic geometric dimension. Among the tools we use are the prime and JSJ decompositions of M, several push-out type constructions, as we
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f0396ad7531a663b49d1ea691a2da1db
http://arxiv.org/abs/1904.04632
http://arxiv.org/abs/1904.04632
In this paper we provide descriptions of the Whitehead groups with coefficients in a ring of the Hilbert modular group and its reduced version, as well as for the topological K-theory of $C^*$-algebras, after tensoring with $\mathbb{Q}$, by computing
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::97882a8d747be7f061ad05170060335b
http://arxiv.org/abs/1706.04691
http://arxiv.org/abs/1706.04691
Publikováno v:
Boletín de la Sociedad Matemática Mexicana. 20:277-285
Let \(G\) be a word hyperbolic group. We prove that the algebraic \(K\)-theory groups of \(\mathbb {Z}[G]\), \(K_n(\mathbb {Z}[G])\), have finite rank for all \(n\in \mathbb {Z}\). For a few classes of groups, we give explicit formulas for the ranks
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::456bd4465a07ae8e0a71a23b2f6c530f
https://doi.org/10.1007/s40590-014-0042-6
https://doi.org/10.1007/s40590-014-0042-6
Publikováno v:
Springer Proceedings in Mathematics & Statistics ISBN: 9783319436739
We prove the K and L theoretic versions of the Fibered Isomorphism Conjecture of F.T. Farrell and L.E. Jones for braid groups on a surface.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4d9ef22138c0c8f3e24a46fd002172d0
https://doi.org/10.1007/978-3-319-43674-6_2
https://doi.org/10.1007/978-3-319-43674-6_2