کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9516805 | 1633122 | 2005 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On properly 3-realizable groups
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We study the class of those finitely presented groups which are “properly 3-realizable”, i.e., those groups G for which there exists a compact 2-polyhedron having G as fundamental group and whose universal cover is proper homotopy equivalent to a 3-manifold (with boundary). We show that certain amalgamated free product of groups G1âFG2 (HNN-extensions GâF), over a cyclic group F, are properly 3-realizable. As a consequence, we note that there are properly 3-realizable groups which cannot be realized by a fake surface without points of type III. The question of whether or not every finitely presented group is properly 3-realizable still remains open.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 153, Issues 2â3, 1 September 2005, Pages 337-349
Journal: Topology and its Applications - Volume 153, Issues 2â3, 1 September 2005, Pages 337-349
نویسندگان
Manuel Cárdenas, Francisco F. Lasheras,