3manifold groups are virtually residually p
 Responsibility
 Matthias Aschenbrenner, Stefan Friedl.
 Publication
 Providence, Rhode Island : American Mathematical Society, [2013]
 Physical description
 vii, 100 pages : illustrations ; 26 cm.
 Series
 Memoirs of the American Mathematical Society ; no. 1058.
Access
Available online
Science Library (Li and Ma)
Serials
Call number  Status 

Shelved by Series title NO.1058  Unknown 
More options
Creators/Contributors
 Author/Creator
 Aschenbrenner, Matthias, 1972 author.
 Contributor
 Friedl, Stefan, 1973 author.
Contents/Summary
 Bibliography
 Includes bibliographical references (pages 9398) and index.
 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.
 (source: Nielsen Book Data)9780821888018 20160612
 Publisher's Summary
 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 generalisation 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.
(source: Nielsen Book Data)9780821888018 20160612
Bibliographic information
 Publication date
 2013
 Title Variation
 Threemanifold groups are virtually residually p
 Series
 Memoirs of the American Mathematical Society, 00659266 ; number 1058
 Note
 "Volume 225, number 1058 (third of 4 numbers), September 2013."
 ISBN
 9780821888018 (alk. paper)
 0821888013 (alk. paper)