التفاصيل البيبلوغرافية
| العنوان: |
Profinite properties of graph manifolds |
| المؤلفون: |
Wilton, Henry, Zalesskii, Pavel |
| المصدر: |
Geometriae Dedicata, 147(1), 29-45, (2010-08) |
| بيانات النشر: |
Springer |
| سنة النشر: |
2010 |
| المجموعة: |
Caltech Authors (California Institute of Technology) |
| مصطلحات موضوعية: |
3-Manifolds, Profinite groups, Conjugacy separability |
| الوصف: |
Let M be a closed, orientable, irreducible, geometrizable 3-manifold. We prove that the profinite topology on the fundamental group of π_1(M) is efficient with respect to the JSJ decomposition of M. We go on to prove that π_1(M) is good, in the sense of Serre, if all the pieces of the JSJ decomposition are. We also prove that if M is a graph manifold then π_1(M) is conjugacy separable. ; © 2009 Springer Science+Business Media B.V. Received: 30 November 2008. Accepted: 3 November 2009. Published online: 28 November 2009. Henry Wilton was partially supported by NSF grant number DMS-0906276. Pavel Zalesskii was partially supported by CNPq. The first author would like to thank Cameron Gordon, Emily Hamilton, Alan Reid and Matthew Stover for useful conversations. ; Submitted - 0807.3727.pdf |
| نوع الوثيقة: |
article in journal/newspaper |
| اللغة: |
unknown |
| Relation: |
https://arxiv.org/abs/0807.3727; eprintid:19323 |
| DOI: |
10.1007/s10711-009-9437-3 |
| الاتاحة: |
https://doi.org/10.1007/s10711-009-9437-3 |
| Rights: |
info:eu-repo/semantics/openAccess ; Other |
| رقم الانضمام: |
edsbas.4F8E0747 |
| قاعدة البيانات: |
BASE |