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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.
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.
The first book to present a comprehensive treatment of profinite graphs, including applications to profinite and abstract groups
Includes a complete proof of Serre's theorem on virtually free pro-p groups without torsion
Contains appendices on abstract groups and automata theory
Includes supplementary material: [...]
| Erscheinungsjahr: | 2017 |
|---|---|
| Fachbereich: | Arithmetik & Algebra |
| Genre: | Mathematik, Medizin, Naturwissenschaften, Technik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Inhalt: |
xv
471 S. |
| ISBN-13: | 9783319610412 |
| ISBN-10: | 3319610414 |
| Sprache: | Englisch |
| Herstellernummer: | 978-3-319-61041-2 |
| Einband: | Gebunden |
| Autor: | Ribes, Luis |
| Auflage: | 1st edition 2017 |
| Hersteller: |
Springer Nature Switzerland
Springer International Publishing |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 241 x 160 x 32 mm |
| Von/Mit: | Luis Ribes |
| Erscheinungsdatum: | 01.09.2017 |
| Gewicht: | 0,893 kg |
The first book to present a comprehensive treatment of profinite graphs, including applications to profinite and abstract groups
Includes a complete proof of Serre's theorem on virtually free pro-p groups without torsion
Contains appendices on abstract groups and automata theory
Includes supplementary material: [...]
| Erscheinungsjahr: | 2017 |
|---|---|
| Fachbereich: | Arithmetik & Algebra |
| Genre: | Mathematik, Medizin, Naturwissenschaften, Technik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Inhalt: |
xv
471 S. |
| ISBN-13: | 9783319610412 |
| ISBN-10: | 3319610414 |
| Sprache: | Englisch |
| Herstellernummer: | 978-3-319-61041-2 |
| Einband: | Gebunden |
| Autor: | Ribes, Luis |
| Auflage: | 1st edition 2017 |
| Hersteller: |
Springer Nature Switzerland
Springer International Publishing |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 241 x 160 x 32 mm |
| Von/Mit: | Luis Ribes |
| Erscheinungsdatum: | 01.09.2017 |
| Gewicht: | 0,893 kg |
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