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392C Geometric Group Theory | Residual finiteness and word-hyperbolic groups

Residual finiteness and word-hyperbolic groups

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392C Geometric Group Theory | Residual finiteness and word-hyperbolic groups | 392c.wordpress.com Reviews

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35. Separating quasi-convex subgroups. | 392C Geometric Group Theory

https://392c.wordpress.com/2009/04/22/35-separating-quasi-convex-subgroups

392C Geometric Group Theory. Residual finiteness and word-hyperbolic groups. 35 Separating quasi-convex subgroups. 22 April 2009 in Course notes. Last time: Theorem 21. Groves–Manning–Osin): If. Then there exists a finite subset. Gromov, Olshanshkii, Delzant): If. Is hyperbolic relative to the infinite cyclic. Then there is a. Such that for all. The proof is an easy application of Groves–Manning–Osin. Infinite cyclic) is malnormal then we say. A group G is omnipotent. If for every independent. Gitik, Mit...

2

27. Stallings’ Condition | 392C Geometric Group Theory

https://392c.wordpress.com/2009/04/06/27-stallings-condition

392C Geometric Group Theory. Residual finiteness and word-hyperbolic groups. 27 Stallings’ Condition. 6 April 2009 in Course notes. Recall that our goal is to determine, for a given map of graphs of spaces such as the one shown below, whether the map. Can be extended to a covering map. Be graphs of spaces equipped with maps. Be a graph of spaces, and let. Be the map to the underlying graph. If. Is a subgraph, then. Has a graph-of-spaces structure. Subgraph of spaces of. We’re seeking a condition on.

3

31. Doubles & virtual retractions | 392C Geometric Group Theory

https://392c.wordpress.com/2009/04/15/31-doubles-virtual-retractions

392C Geometric Group Theory. Residual finiteness and word-hyperbolic groups. 31 Doubles and virtual retractions. 15 April 2009 in Course notes. Tags: Doubles of free groups. Last time, we used the following lemma without justification, so let’s prove it now. Be a graph of groups with. Finitely generated. If. Is finitely generated for every edge. Is finitely generated for every. Be a finite generating set for. Be a finite generating set for the edge group. By the Normal Form Theorem, every. Is LERF, answe...

4

pweil | 392C Geometric Group Theory

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392C Geometric Group Theory. Residual finiteness and word-hyperbolic groups. You are currently browsing pweil’s articles. 35 Separating quasi-convex subgroups. 22 April 2009 in Course notes. Last time: Theorem 21. Groves–Manning–Osin): If. Then there exists a finite subset. Gromov, Olshanshkii, Delzant): If. Is hyperbolic relative to the infinite cyclic. Then there is a. Such that for all. The proof is an easy application of Groves–Manning–Osin. Infinite cyclic) is malnormal then we say. Such that for all.

5

jmaciejewski | 392C Geometric Group Theory

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392C Geometric Group Theory. Residual finiteness and word-hyperbolic groups. You are currently browsing jmaciejewski’s articles. 34 Combinatorial Dehn Filling. 20 April 2009 in Course notes. Recall, that for any graph. We built a combinatorial horoball. And a collection of subgroups. And a generating set. By gluing copies of. Is hyperbolic relative to. If and only if. Are finitely generated, then. Is a graph of spaces with underlying graph a tree and the combinatorial horoballs for vertex spaces. Is hype...

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berstein | Here there be dragons

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Here there be dragons. Exploring the subgroups of non-positively curved groups. Berstein is the name under which participants in the Berstein Seminar - a mathematics seminar at Cornell - are blogging. Farewell (and what did we miss? July 7, 2011. 8220;I believe in everything until it’s disproved. So I believe in fairies, the myths, dragons.” — John Lennon Our tour of subgroups of non–positively curved groups has reached its end. What did we miss? Cannon-Thurston maps for graphs of groups. July 3, 2011.

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Applications of the Bestvina-Brady Theorem | Here there be dragons

https://berstein.wordpress.com/2011/04/07/applications-of-the-bestvina-brady-theorem

Here there be dragons. Exploring the subgroups of non-positively curved groups. Groups having finitely many conjugacy classes of finite order elements. A sketch of a proof of the Bestvina–Brady Theorem →. Applications of the Bestvina-Brady Theorem. April 7, 2011. This post and the next will be mostly based on a 1996 paper by Mladen Bestvina and Noel Brady,. Morse theory and finiteness properties of groups. Their main result (. The Bestvina–Brady Theorem. Be the collection of vertices of. If there exists a.

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Here there be dragons | Exploring the subgroups of non-positively curved groups | Page 2

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Here there be dragons. Exploring the subgroups of non-positively curved groups. Newer posts →. Distortion of finitely presented subgroups of non-positively curved groups II — hydra groups. May 6, 2011. This post is written by Tim Riley. (Given that I’m writing about my own work here, it would seem awkward to blog this under the partial anonymity of the collective name “Berstein.”) The main sources for this post are my papers Hydra groups. With Will Dison and. For Dison and me, a. So, in particular,.

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Groups having finitely many conjugacy classes of finite order elements | Here there be dragons

https://berstein.wordpress.com/2011/03/30/groups-having-finitely-many-conjugacy-classes-of-finite-order-elements

Here there be dragons. Exploring the subgroups of non-positively curved groups. Finiteness properties, Brown’s criterion and its application to Bieri-Stallings groups. Applications of the Bestvina-Brady Theorem →. Groups having finitely many conjugacy classes of finite order elements. March 30, 2011. This post is based on a guest talk by Matt Clay. 1 How finite is this group? One way to measure how close a group is to being finite is by the finiteness property. For example, let. Where the generators of.

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Pablo Lessa | Coloquio Oleis

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Los seguidores de Manolo. Que m* es esto? Problema de la Semana. Notas de Caminatas al azar. On Miércoles 24, junio, 2015. Hace poco tuve la suerte de dar un cursito en una escuela para estudiantes de grado en la universidad Notre Dame (Indiana, EEUU). Escribo este artículo para divulgar las notas (en inglés) que preparé para el curso que están disponibles acá. Aprovecho también para dar una idea de que se trató el asunto. Comenzamos con el Teorema de Pòlya que dice que una caminata al azar simple en.

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Non-positively curved groups II – hyperbolic groups | Here there be dragons

https://berstein.wordpress.com/2011/02/13/non-positively-curved-groups-ii-hyperbolic-groups

Here there be dragons. Exploring the subgroups of non-positively curved groups. Non-positively curved groups I – CAT(0) and CAT(-1) groups. Non-positively curved groups III combable, automatic, semi-hyperbolic, and all that →. Non-positively curved groups II – hyperbolic groups. February 13, 2011. In this post and the next we will survey an assortment of intrinsic properties groups can enjoy that bear vestiges of non-positive curvature. We will focus here on. Suppose that a group. Is CAT(0) or CAT(-1).

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MOO is classical | Low Dimensional Topology

https://ldtopology.wordpress.com/2015/03/30/moo-is-classical

March 30, 2015. 8212; dmoskovich @ 9:43 am. The simplest quantum 3-manifold invariant is the Murakami-Ohtsuki-Okada (MOO) invariant. It comes from. Chern-Simons theory in the way that the. Reshetikhin-Turaev invariant comes from. Chern-Simons Theory. It has a closed formula in terms of the order of the first cohomology class of the. And an eighth root of unity. Witten’s Chern-Simons theory for gauge group. A recently published paper by Gelca and Uribe. Which is also the topic of a book by Gelca. I’...

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Tangle diagram crossings and quantum entanglement | Low Dimensional Topology

https://ldtopology.wordpress.com/2015/07/28/tangle-diagram-crossings-and-quantum-entanglement

July 28, 2015. Tangle diagram crossings and quantum entanglement. 8212; dmoskovich @ 1:55 pm. In low dimensional topology we speak of tangles, while quantum physics speaks of entanglement. Similar words, but is there a deeper connection? Kauffman conjectured that the answer is yes. And I think he’s right, although maybe for other reasons). Glancing through arXiv this morning, I came across the following recent preprint:. Alagic, G., Jarret M., and Jordan S.P. But are inseparably intertwined in that they ...

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Complex hyperbolic geometry of knot complements | Low Dimensional Topology

https://ldtopology.wordpress.com/2015/03/09/complex-hyperbolic-geometry-of-knot-complements

March 9, 2015. Complex hyperbolic geometry of knot complements. 8212; dmoskovich @ 3:41 am. This morning there was a paper which caught my eye:. Deraux, M. and Falbel, E. 2015 Complex hyperbolic geometry of the figure-eight knot. In it, the authors study a very different geometric structure for the figure-eight knot complement, as the manifold at infinity of a complex hyperbolic orbifold. The largest subbundle in the tangent bundle that is invariant under the complex structure) of. CR structures are very...

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Pascal’s Rule and double induction | ianmarqz

https://juanmarqz.wordpress.com/2015/03/12/pascals-rule-and-double-induction

Primer parcial, examen de multi. Short exact sequence and center →. 2015/03/12 · 21:49. Pascal’s Rule and double induction. Is a set with. Follow the link pascalbernoulli. For a double induction proof. Primer parcial, examen de multi. Short exact sequence and center →. Leave a Reply Cancel reply. Enter your comment here. Fill in your details below or click an icon to log in:. Address never made public). You are commenting using your WordPress.com account. ( Log Out. Notify me of new comments via email.

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392C Geometric Group Theory | Residual finiteness and word-hyperbolic groups

392C Geometric Group Theory. Residual finiteness and word-hyperbolic groups. 35 Separating quasi-convex subgroups. 22 April 2009 in Course notes. Last time: Theorem 21. Groves–Manning–Osin): If. Then there exists a finite subset. Gromov, Olshanshkii, Delzant): If. Is hyperbolic relative to the infinite cyclic. Then there is a. Such that for all. The proof is an easy application of Groves–Manning–Osin. Infinite cyclic) is malnormal then we say. A group G is omnipotent. If for every independent. Gitik, Mit...

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