株式会社極東書店トップ ＞ 商品一覧 ＞ Profinite Graphs and Groups. 1st ed. 2017.
商品詳細
Profinite Graphs and Groups. 1st ed. 2017.
・ISBN 978-3-319-61041-2 hard EUR 129.99
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| 著者・編者 | Ribes, Luis, |
|---|---|
| シリーズ | Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics |
| 出版社 | (Springer International Publishing AG, SZ) |
| 出版年月 | 2017 |
| ページ数 | 471 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-3143＞ |
解説
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.