03166nam 2200601 450 991048062180332120170822144322.01-4704-1058-3(CKB)3780000000000153(EBL)3114146(SSID)ssj0000938805(PQKBManifestationID)11501969(PQKBTitleCode)TC0000938805(PQKBWorkID)10926590(PQKB)10749822(MiAaPQ)EBC3114146(PPN)19540842X(EXLCZ)99378000000000015320150417h20132013 uy 0engur|n|---|||||txtccr3-manifold groups are virtually residually p /Matthias Aschenbrenner, Stefan FriedlProvidence, Rhode Island :American Mathematical Society,2013.©20131 online resource (114 p.)Memoirs of the American Mathematical Society,1947-6221 ;Volume 225, Number 1058"Volume 225, Number 1058 (third of 4 numbers)."0-8218-8801-3 Includes bibliographical references and index.""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""Memoirs of the American Mathematical Society ;Volume 225, Number 1058.Group theoryThree-manifolds (Topology)Fundamental groups (Mathematics)Electronic books.Group theory.Three-manifolds (Topology)Fundamental groups (Mathematics)514.34Aschenbrenner Matthias1972-766973Friedl Stefan1973-MiAaPQMiAaPQMiAaPQBOOK99104806218033213-manifold groups are virtually residually p2113197UNINA