Profinite Graphs and Groups

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.