Memoirs of the American Mathematical Society 2013; 100 pp; softcover Volume: 225 ISBN10: 0821888013 ISBN13: 9780821888018 List Price: US$69 Individual Members: US$41.40 Institutional Members: US$55.20 Order Code: MEMO/225/1058
 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 wellknown 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 wellknown 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
