Geometric Group Theory
Geneva and Barcelona Conferences
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Beschreibung
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.
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
Autor*in
Goulnara N. Arzhantseva
Themen in »Geometric Group Theory«
Geometric group theory Group theory classifying space conjugacy problem free group membership problem