Ebook: Geometric Group Theory: Geneva and Barcelona Conferences
Author: Udo Baumgartner (auth.) Goulnara N. Arzhantseva José Burillo Laurent Bartholdi Enric Ventura (eds.)
- Tags: Group Theory and Generalizations
- Series: Trends in Mathematics
- Year: 2007
- Publisher: Birkhäuser Basel
- Edition: 1
- Language: English
- pdf
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.
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.
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.
Content:
Front Matter....Pages i-vii
Totally Disconnected, Locally Compact Groups as Geometric Objects....Pages 1-20
Computational Explorations in Thompson’s Group F ....Pages 21-35
On the Surjunctivity of Artinian Linear Cellular Automata over Residually Finite Groups....Pages 37-44
Some Residually Finite Groups Satisfying Laws....Pages 45-50
Classifying Spaces for Wallpaper Groups....Pages 51-64
A General Construction of JSJ Decompositions....Pages 65-73
D?compositions de Groupes par Produit Direct et Groupes de Coxeter....Pages 75-102
Limit Groups of Equationally Noetherian Groups....Pages 103-119
Solution of the Conjugacy Problem and Malnormality of Subgroups in Certain Relative Small Cancellation Group Presentations....Pages 121-168
Solution of the Membership Problem for Magnus Subgroups in Certain One-Relator Free Products....Pages 169-195
Conjugacy and Centralizers for Iwip Automorphisms of Free Groups....Pages 197-224
Algebraic Extensions in Free Groups....Pages 225-253
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.
Content:
Front Matter....Pages i-vii
Totally Disconnected, Locally Compact Groups as Geometric Objects....Pages 1-20
Computational Explorations in Thompson’s Group F ....Pages 21-35
On the Surjunctivity of Artinian Linear Cellular Automata over Residually Finite Groups....Pages 37-44
Some Residually Finite Groups Satisfying Laws....Pages 45-50
Classifying Spaces for Wallpaper Groups....Pages 51-64
A General Construction of JSJ Decompositions....Pages 65-73
D?compositions de Groupes par Produit Direct et Groupes de Coxeter....Pages 75-102
Limit Groups of Equationally Noetherian Groups....Pages 103-119
Solution of the Conjugacy Problem and Malnormality of Subgroups in Certain Relative Small Cancellation Group Presentations....Pages 121-168
Solution of the Membership Problem for Magnus Subgroups in Certain One-Relator Free Products....Pages 169-195
Conjugacy and Centralizers for Iwip Automorphisms of Free Groups....Pages 197-224
Algebraic Extensions in Free Groups....Pages 225-253
....