Profinite Graphs and Groups

• Κύριος συγγραφέας: Ribes, Luis (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Σειρά: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 66
• Θέματα: Mathematics.; Group theory.; Topological groups.; Lie groups.; Graph theory.; Topological Groups, Lie Groups.; Graph Theory.; Group Theory and Generalizations.

This book offers a detailed introduction to graph theoretic methods in profinite groups and applications to abstract groups. It is the first to provide a comprehensive treatment of the subject. The author begins by carefully developing relevant notions in topology, profinite groups and homology, inc...

Πίνακας περιεχομένων:

• 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.