3-Manifold Groups Are Virtually Residually P |
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Author:
| Aschenbrenner, Matthias Friedl, Stefan |
Series title: | Memoirs of the American Mathematical Society Ser. |
ISBN: | 978-0-8218-8801-8 |
Publication Date: | Sep 2013 |
Publisher: | American Mathematical Society
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Book Format: | Paperback |
List Price: | USD $74.00USD $74.00 |
Book Description:
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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. This gives evidence for the conjecture (Thurston) that fundamental groups of $3$-manifolds are linear groups.
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. This gives evidence for the conjecture (Thurston) that fundamental groups of $3$-manifolds are linear groups.