书目名称 | Profinite Graphs and Groups |
编辑 | Luis Ribes |
视频video | |
概述 | 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 gr |
丛书名称 | Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics |
图书封面 |  |
描述 | .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.. |
出版日期 | Book 2017 |
关键词 | profinite tree; profinite group; profinite graphs; minimal subtrees; free products of profinite groups; f |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-319-61199-0 |
isbn_softcover | 978-3-030-10424-5 |
isbn_ebook | 978-3-319-61199-0Series ISSN 0071-1136 Series E-ISSN 2197-5655 |
issn_series | 0071-1136 |
copyright | Springer International Publishing AG 2017 |