3-manifold groups are virtually residually p. Memoirs of the American Mathematical Society; volume 225 (3rd of 4 numbers) = number 1058.

Aschenbrenner, Matthias; Friedl, Stefan

ISBN 10: 0821888013 / ISBN 13: 9780821888018

Published by Providence, American Mathematical Society, 2013

About this Item

Ex-library in GOOD condition with library-signature and stamp(s). Some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-00090 9780821888018 Sprache: Englisch Gewicht in Gramm: 350.

Seller Inventory # 2482589

Bibliographic Details

• Title: 3-manifold groups are virtually residually p. Memoirs of the American Mathematical Society; volume 225 (3rd of 4 numbers) = number 1058.
• Publisher: Providence, American Mathematical Society
• Publication Date: 2013
• Language: English
• ISBN 10: 0821888013
• ISBN 13: 9780821888018
• Binding: Softcover
• Seller catalogs:
  • SA MATHEMATIK

About this title

Synopsis

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 the authors prove a common generalisation of these 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.

About the Author

Matthias Aschenbrenner, University of California, Los Angeles, CA, USAStefan Friedl, University of Koln, Germany