geometric group theory kapovich

/Resources 7 0 R /Contents 3 0 R Quasiconvexity in hyperbolic spaces,11.8. Presentations of central coextensions,7.10.4. /Filter /FlateDecode is required, and some intuition in graph theory and geometry would be helpful. /Parent 6 0 R "Higher connectedness of asymptotic cones","The quasi-isometry classification of rank one lattices","Tarski's problem about the elementary theory of free groups has a positive solution","Regular neighbourhoods and canonical decompositions for groups","Cut points and canonical splittings of hyperbolic groups","Generic-case complexity, decision problems in group theory, and random walks","Generic properties of Whitehead's algorithm and isomorphism rigidity of random one-relator groups","Orbit equivalence rigidity and bounded cohomology",Jon McCammond's Geometric Group Theory Page,Open Problems in combinatorial and geometric group theory,Geometric group theory Theme on arxiv.org,https://en.wikipedia.org/w/index.php?title=Geometric_group_theory&oldid=977572742,Articles needing cleanup from January 2012,Articles with sections that need to be turned into prose from January 2012,Creative Commons Attribution-ShareAlike License.Gromov's program to study quasi-isometric properties of groups.The study of properties that are invariant under.Theorems which use quasi-isometry invariants to prove algebraic results about groups, for example:Quasi-isometric rigidity theorems, in which one classifies algebraically all groups that are quasi-isometric to some given group or metric space.

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EDITORIAL COMMITTEE LawrenceC.Evans Yuri Manin PeterSarnak(Chair) This is usually done by studying the Cayley graphs of groups, which, in addition to the graph structure, are endowed with the .��[��V˾�įi��M �q��3��{S4=uS��i@��X��v�N��)=�&$J� d9,'��b�c;�� ڪ�+�%��`�� >��|�}��Zsޣ��ޱ� �fD�x;}{�H�L��͛Ʒ��3��'\y��:3y`E,��O��¤m�Õ�͌�ݣڤFjr��`��%��Z"%Cd(��x��.��k��#��:��0�C��>w��n��6~k�;�C`�(��$ �ki"��S��茞1��;�n�}T��/��*ZC��mi��0�Ӣ��p^��a��*��ʊ$� ] B�UncF+�5q-��DדU�*T),�{��Q��=L�w�9 xڥZY��~��h�U�}�aû�#�=��~�83�)R&�ݕ}��̮�"6��}T��U��Ǜ��g��Z��&��Y~s��i��x��o?c�M��$Ⱦ�i��4��TE�c��v�ts�e��l��ꍯ��y��u�5@��ߘ6�� ?�E�kK��ݭI7E�#3/ �7@�b�P6��&L+c4��V��w��Cѷ��-�}ٟ2�Q��}��7[�\��*��*��q'i�+;`K�(`g�ۢ+j$�e��?GqTt#�W�0wE��5L�{`��ѱE�� :&�D�w�/�é��;��-m(��Ĳ. >> 8 0 obj << Geometric group theory | Bogdan, Nica; Druţu, Cornelia; Kapovich, Michael | download | B–OK. Find books U�Zb��"�J2.��-�>u2�b+f2��No�9�+g+�Z�V�"(�ņ��z�F��q8_�H�_B4Gyx�N:��t�\��[n�c��sڥ��{�7�G�xTo��`��|Һ��L.�c��X��Y��Y�,�h�eK[,Ζ�-��r䶷C�Ơڀ^uEѕ�d��Ğ��O�_D��-�669;k�A��1�� Y.ot Boundary extension of quasiisometries of hyperbolic spaces,11.13.3. Summary of equivalent definitions of hyperbolicity,11.25. endobj To be removed from or added to the list, or to change your e-mail address in the list, please e-mail Ilya Kapovich at kapovich@illinois.edu Rips complexes and coarse homotopy theory,9.2.2. Download books for free. /Encoding /WinAnsiEncoding As next step, we will introduce a metric structure on groups via word metrics on Cayley graphs, and we will study the large scale geometry of groups with respect to this metric structure Riemannian manifolds of bounded geometry,3.8.

/Type /FontDescriptor Exhaustions of locally compact spaces,2.4. 7 0 obj [/Separation /PANTONE#20275#20CV /DeviceCMYK 8 0 R] 12 0 obj << /CharSet (/space/G/e/o/m/t/r/i/c/u/p/T/h/y) Ideal boundary, horoballs and horospheres,4.10. Geometry of triangles in Rips-hyperbolic spaces,11.9. << Finitely generated and finitely presented groups,7.4. << >> /Flags 262176 ��8p\�`�k�T�Wt��_�}y#þ�㩱s :�4��? /Length 19

This includes, in particular, the work of Jean-Camille Birget, Aleksandr Olʹshanskiĭ.Development of the theory of JSJ-decompositions for finitely generated and finitely presented groups.Interactions with the theory of quasiconformal analysis on metric spaces, particularly in relation to,Development of the theory of group actions on.Interactions with low-dimensional topology and hyperbolic geometry, particularly the study of 3-manifold groups (see, e.g.,Introduction of probabilistic methods to study algebraic properties of "random" group theoretic objects (groups, group elements, subgroups, etc.). Bi-Lipschitz maps. Ping-pong lemma. Orders of Dehn functions of non-hyperbolic groups and higher Dehn functions,11.23. Another important idea in geometric group theory is to consider finitely generated groups themselves as geometric objects. /BitsPerSample 8 /XHeight 517

This applies to many groups naturally appearing in topology, geometry, and algebra, such as fundamental groups of manifolds, groups … /StemV 114

Lipschitz and locally Lipschitz maps,2.5.2.

Boundary extension and quasiactions,11.13.4. <<