Your cart is empty.

20E26 Group theory and generalizations -- Structure and classification of infinite or finite groups -- Residual properties and generalizations; residually finite groups

20F38 Group theory and generalizations -- Special aspects of infinite or finite groups -- Other groups related to topology or analysis En-ligne: Site de l'auteur | MathSciNet

Location | Call Number | Status | Date Due |
---|---|---|---|

Couloir | 12348-01 / Séries AMS (Browse Shelf) | Available |

Bibliogr. p. 93-98. Index

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 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 we 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.

There are no comments for this item.