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OverviewGiven 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 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. Full Product DetailsAuthor: Matthias Aschenbrenner , Stefan FriedlPublisher: American Mathematical Society Imprint: American Mathematical Society Volume: 225, 1058 Weight: 0.171kg ISBN: 9780821888018ISBN 10: 0821888013 Pages: 100 Publication Date: 30 September 2013 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Temporarily unavailable The supplier advises that this item is temporarily unavailable. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out to you. Table of ContentsReviewsAuthor InformationMatthias Aschenbrenner, University of California, Los Angeles, CA, USA Stefan Friedl, University of Koln, Germany Tab Content 6Author Website:Countries AvailableAll regions |