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Residual finiteness for 3-manifolds. (English) Zbl 0772.57002
Combinatorial group theory and topology, Sel. Pap. Conf., Alta/Utah 1984, Ann. Math. Stud. 111, 379-396 (1987).
[For the entire collection see Zbl 0611.00010]
Summary: It is shown that every Haken 3-manifold has a residually finite fundamental group. This easily extends to prove the same for the fundamental groups of a large class of 3-manifolds which has been conjectured to include all compact 3-manifolds.

MSC:
57M05 Fundamental group, presentations, free differential calculus
20E26 Residual properties and generalizations; residually finite groups
20F34 Fundamental groups and their automorphisms (group-theoretic aspects)
57N10 Topology of general \(3\)-manifolds (MSC2010)