3-manifold groups are virtually residually p / Matthias Aschenbrenner, Stefan Friedl.

Format:

Book

Author/Creator:

Aschenbrenner, Matthias, 1972- author.

Friedl, Stefan, 1973- author.

Series:

Memoirs of the American Mathematical Society ; Volume 225, Number 1058.

Memoirs of the American Mathematical Society, 1947-6221 ; Volume 225, Number 1058

Language:

English

Subjects (All):

Group theory.

Three-manifolds (Topology).

Fundamental groups (Mathematics).

Physical Description:

1 online resource (114 p.)

Edition:

1st ed.

Other Title:

Three-manifold groups are virtually residually p

Place of Publication:

Providence, Rhode Island : American Mathematical Society, 2013.

Language Note:

English

Summary:

September 2013, volume 225, number 1058 (third of 4 numbers).

Contents:

""Contents""; ""Introduction""; ""The main result""; ""Applications""; ""Properties of linear groups and 3-manifold groups""; ""Outline of the proof strategy""; ""A more general theorem?""; ""Graph manifolds""; ""Guide for the reader""; ""Conventions and notations""; ""Acknowledgments""; ""Chapter 1. Preliminaries""; ""1.1. Filtrations of groups""; ""1.2. Graphs of groups""; ""Chapter 2. Embedding Theorems for -Groups""; ""2.1. An amalgamation theorem for filtered -groups""; ""2.2. Extending partial automorphisms to inner automorphisms""

""Chapter 3. Residual Properties of Graphs of Groups""""3.1. Root properties and fundamental groups of graphs of groups""; ""3.2. A criterion for being residually ""; ""3.3. Unfolding a graph of groups""; ""3.4. A criterion for being virtually residually ""; ""Chapter 4. Proof of the Main Results""; ""4.1. -compatible filtrations""; ""4.2. -compatible filtrations of linear groups""; ""4.3. Proof of the main theorem""; ""4.4. A localization theorem""; ""4.5. Fibered 3-manifolds""; ""Chapter 5. The Case of Graph Manifolds""; ""5.1. -efficiency""; ""5.2. Cohomological -completeness""

""5.3. Virtual -efficiency for arbitrary 3-manifolds?""""5.4. The mod homology graph""; ""Bibliography""; ""Index""

Notes:

"Volume 225, Number 1058 (third of 4 numbers)."

Includes bibliographical references and index.

Description based on print version record.

ISBN:

1-4704-1058-3