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Precio: $1078.35
Editorial:
Año: 2013
Tema:
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