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Record Nr. |
UNINA9910796037903321 |
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Autore |
Aschenbrenner Matthias <1972-> |
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Titolo |
3-manifold groups are virtually residually p / / Matthias Aschenbrenner, Stefan Friedl |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2013 |
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©2013 |
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ISBN |
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Descrizione fisica |
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1 online resource (114 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 1947-6221 ; ; Volume 225, Number 1058 |
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Disciplina |
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Soggetti |
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Group theory |
Three-manifolds (Topology) |
Fundamental groups (Mathematics) |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"Volume 225, Number 1058 (third of 4 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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""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"" |
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