Profinite Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Profinite Groups write by Luis Ribes. This book was released on 2013-04-09. Profinite Groups available in PDF, EPUB and Kindle. This self-contained book serves both as an introduction to profinite groups and as a reference for specialists in some areas of the theory. It contains complete and clear proofs for most results, many of which appear here in book form for the first time. Suitable as a basis for courses.
Profinite Groups
Profinite Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Profinite Groups write by John S. Wilson. This book was released on 1998-10-01. Profinite Groups available in PDF, EPUB and Kindle. This is the first book to be dedicated entirely to profinite groups, an area of algebra with important links to number theory and other areas of mathematics. It provides a comprehensive overview of the subject; prerequisite knowledge is kept to a minimum, and several major theorems are presented in an accessible form. The book would provide a valuable introduction for postgraduate students, or form a useful reference for researchers in other areas. The first few chapters lay the foundations and explain the role of profinite groups in number theory. Later chapters explore various aspects of profinite groups in more detail; these contain accessible and lucid accounts of many major theorems. Prerequisites are kept to a minimum with the basic topological theory summarized in an introductory chapter.
Profinite Graphs and Groups
Profinite Graphs and Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Profinite Graphs and Groups write by Luis Ribes. This book was released on 2017-08-23. Profinite Graphs and Groups available in PDF, EPUB and Kindle. 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.
Profinite Groups, Arithmetic, and Geometry
Profinite Groups, Arithmetic, and Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Profinite Groups, Arithmetic, and Geometry write by Stephen S. Shatz. This book was released on 1972-03-21. Profinite Groups, Arithmetic, and Geometry available in PDF, EPUB and Kindle. This volume reproduces, in the first five chapters, the content of a one semester course given at the University of Pennsylvania in the spring of 1968. The final chapter was material that was not presented during the course due to lack of time. The aim of the course was to acquaint students with a body of material upon which some of the modern research in Diophantine geometry and higher arithmetic is based, and in a way which emphasized the many interesting roads out of these elementary foundations.
Profinite Semigroups and Symbolic Dynamics
Profinite Semigroups and Symbolic Dynamics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Profinite Semigroups and Symbolic Dynamics write by Jorge Almeida. This book was released on 2020-09-10. Profinite Semigroups and Symbolic Dynamics available in PDF, EPUB and Kindle. This book describes the relation between profinite semigroups and symbolic dynamics. Profinite semigroups are topological semigroups which are compact and residually finite. In particular, free profinite semigroups can be seen as the completion of free semigroups with respect to the profinite metric. In this metric, two words are close if one needs a morphism on a large finite monoid to distinguish them. The main focus is on a natural correspondence between minimal shift spaces (closed shift-invariant sets of two-sided infinite words) and maximal J-classes (certain subsets of free profinite semigroups). This correspondence sheds light on many aspects of both profinite semigroups and symbolic dynamics. For example, the return words to a given word in a shift space can be related to the generators of the group of the corresponding J-class. The book is aimed at researchers and graduate students in mathematics or theoretical computer science.
