Profinite Graphs and Groups

Profinite Graphs and Groups by Luis Ribes.

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...

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Bibliographic Details
Main Author: Ribes, Luis (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
Edition:1st ed. 2017.
Series:Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 66
Springer eBook Collection.
Subjects:
Topological groups.
Lie groups.
Graph theory.
Group theory.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of 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.

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