Profinite Graphs and Groups

Ribes, Luis

ISBN 10: 3319610414 / ISBN 13: 9783319610412

Published by Springer, 2017

About this Item

Zustand: Hervorragend | Seiten: 488 | Sprache: Englisch | Produktart: Bücher | 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, including free products of profinite groups, cohomological methods in profinite groups, and fixed points of automorphisms of free pro-p groups. The final part of the book is dedicated to applications of the profinite theory to abstract groups, with sections on finitely generated subgroups of free groups, separability conditions in free and amalgamated products, and algorithms in free groups and finite monoids.Profinite Graphs and Groups will appeal to students and researchers interested in profinite groups, geometric group theory, graphs and connections with the theory of formal languages. A complete reference on the subject, the book includes historical and bibliographical notes as well as a discussion of open questions and suggestions for further reading.

Seller Inventory # 28854383/1

Bibliographic Details

• Title: Profinite Graphs and Groups
• Publisher: Springer
• Publication Date: 2017
• Language: English
• ISBN 10: 3319610414
• ISBN 13: 9783319610412
• Binding: Hardcover
• Condition: Hervorragend
• Seller catalogs:
  • Bücher

About this title

Synopsis

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, including free products of profinite groups, cohomological methods in profinite groups, and fixed points of automorphisms of free pro-p groups. The final part of the book is dedicated to applications of the profinite theory to abstract groups, with sections on finitely generated subgroups of free groups, separability conditions in free and amalgamated products, and algorithms in free groups and finite monoids.

Profinite Graphs and Groups will appeal to students and researchers interested in profinite groups, geometric group theory, graphs and connections with the theory of formal languages. A complete reference on the subject, the book includes historical and bibliographical notes as well as a discussion of open questions and suggestions for further reading.

Review

“The book systematically develops fundamentals of the theory of profinite graphs, with emphasis on exhibiting similarities with the Bass-Serre theory of abstract groups acting on abstract trees. As such, it provides a valuable reference for students and researchers in the field.” (Primož Moravec, Mathematical Reviews, 2018)