کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9516322 | 1344010 | 2005 | 100 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Tree-graded spaces and asymptotic cones of groups
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Tree-graded spaces and asymptotic cones of groups Tree-graded spaces and asymptotic cones of groups](/preview/png/9516322.png)
چکیده انگلیسی
We introduce a concept of tree-graded metric space and we use it to show quasi-isometry invariance of certain classes of relatively hyperbolic groups, to obtain a characterization of relatively hyperbolic groups in terms of their asymptotic cones, to find geometric properties of Cayley graphs of relatively hyperbolic groups, and to construct the first example of a finitely generated group with a continuum of non-Ï1-equivalent asymptotic cones. Note that by a result of Kramer, Shelah, Tent and Thomas, continuum is the maximal possible number of different asymptotic cones of a finitely generated group, provided that the Continuum Hypothesis is true.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology - Volume 44, Issue 5, September 2005, Pages 959-1058
Journal: Topology - Volume 44, Issue 5, September 2005, Pages 959-1058
نویسندگان
Cornelia Druţu, Mark Sapir, with an Appendix by Denis Osinb and Mark Sapir with an Appendix by Denis Osinb and Mark Sapir,