Profinite Graphs and Groups. (2017)

• Record Type: Book
• Further Information: Note: By Luis Ribes.
• Other Names: Ribes, Luis
• Contents: 1 Preliminaries -- Part I Basic Theory -- 2 Profinite Graphs -- 3 The Fundamental Group of a Profinite Graph -- 4 Profinite Groups Acting on C-Trees -- 5 Free Products of Pro-C Groups -- 6 Graphs of Pro-C Groups -- Part II Applications to Profinite Groups -- 7 Subgroups of Fundamental Groups of Graphs of Groups -- 8 Minimal Subtrees -- 9 Homology and Graphs of Pro-C Groups -- 10 The Virtual Cohomological Dimension of Profinite Groups -- Part III Applications to Abstract Groups -- 11 Separability Conditions in Free and Polycyclic Groups -- 12 Algorithms in Free Groups and Monoids -- 13 Abstract Groups vs their Profinite Completions -- 14 Conjugacy in Free Products and in Free-by-finite Groups -- 15 Conjugacy Separability in Amalgamated Products -- Appendix A Abstract Graphs -- Appendix B Rational Sets in Free Groups and Automata -- Bibliography -- Index.
• Publisher Details: Cham : Springer
• Publication Date: 2017
• Extent: 1 online resource (XV, 471 pages)
• Subjects: 512.55; 512.482; Mathematics; Profinite groups; Group theory; Topological groups; Lie groups; Graph theory; MATHEMATICS / Algebra / Intermediate; Topological groups; Lie groups; Group theory; Graph theory; Profinite groups; Mathematics -- Graphic Methods; Mathematics -- Algebra -- Abstract; Combinatorics & graph theory; Groups & group theory; Mathematics -- Group Theory; Electronic books
• Languages: English
• ISBNs: 9783319611990; 3319611992
• Related ISBNs: 9783319610412; 3319610414
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.