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Título: 3-Manifold Groups Are Virtually Residually P | |
| Autor: Matthias Aschenbrenner, University Of California, los Angele | Precio: $1078.35 | |
| Editorial: American Mathematical Society | Año: 2013 | |
| Tema: Matematicas | Edición: 1ª | |
| Sinopsis | ISBN: 9780821888018 | |
| Given a prime p , a group is called residually p if the intersection of its p -power index normal subgroups is trivial. A group is called virtually residually p if it has a finite index subgroup which is residually p . It is well-known that finitely generated linear groups over fields of characteristic zero are virtually residually p for all but finitely many p . In particular, fundamental groups of hyperbolic 3 -manifolds are virtually residually p . It is also well-known that fundamental groups of 3 -manifolds are residually finite. In this paper the authors prove a common generalization of these results: every 3 -manifold group is virtually residually p for all but finitely many p . This gives evidence for the conjecture (Thurston) that fundamental groups of 3 -manifolds are linear groups.
Table of Contents ¦Introduction ¦Preliminaries ¦Embedding theorems for p -Groups ¦Residual properties of graphs of groups ¦Proof of the main results ¦The case of graph manifolds ¦Bibliography ¦Index |
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