Editors:
- Contains contributions from experts in geometric and combinatorial group theory, most of which were present at the Geneva and Barcelona conferences in 2005
- Above the diversity of the articles included in this volume reigns a strong unity of themes and purposes: understanding geometrical and logical objects through their symmetries
- Witnesses to the power of group theory as a language for expressing, communicating and solving problems throughout mathematics
- Contains particularly two articles by A. Juhász on the solution of the membership problem for Magnus subgroups and on the solution of the conjugacy problem and malnormality of subgroups
- Includes supplementary material: sn.pub/extras
Part of the book series: Trends in Mathematics (TM)
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Table of contents (12 papers)
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Front Matter
About this book
This volume assembles research papers in geometric and combinatorial group theory. This wide area may be defined as the study of those groups that are defined by their action on a combinatorial or geometric object, in the spirit of Klein’s programme.
The contributions range over a wide spectrum: limit groups, groups associated with equations, with cellular automata, their structure as metric objects, their decomposition, etc. Their common denominator is the language of group theory, used to express and solve problems ranging from geometry to logic.
Editors and Affiliations
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Section de mathématiques, Université de Genève, Genève 4, Switzerland
Goulnara N. Arzhantseva
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Departament de Matemàtica Aplicada IV, Universitat Politècnica de Catalunya Escola Politècnica Superior de Castelldefels Avda, Castelldefels (Barcelona), Spain
José Burillo
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Institut de Mathématiques B (IMB), École Polytechnique Fédérale de Lausanne (EPFL), Lausanne, Switzerland
Laurent Bartholdi
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Department of Applied Mathematics III Escola Politècnica Superior d’Enginyeria de Manresa, Universitat Politècnica de Catalunya, Manresa / Barcelona, Spain
Enric Ventura
Bibliographic Information
Book Title: Geometric Group Theory
Book Subtitle: Geneva and Barcelona Conferences
Editors: Goulnara N. Arzhantseva, José Burillo, Laurent Bartholdi, Enric Ventura
Series Title: Trends in Mathematics
DOI: https://doi.org/10.1007/978-3-7643-8412-8
Publisher: Birkhäuser Basel
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Basel 2007
Hardcover ISBN: 978-3-7643-8411-1
eBook ISBN: 978-3-7643-8412-8
Series ISSN: 2297-0215
Series E-ISSN: 2297-024X
Edition Number: 1
Number of Pages: VII, 256
Topics: Group Theory and Generalizations