Ebook: Geometry of Defining Relations in Groups
Author: A. Yu. Ol’shanskii (auth.)
- Tags: Group Theory and Generalizations, Discrete Mathematics in Computer Science, Manifolds and Cell Complexes (incl. Diff.Topology), Geometry
- Series: Mathematics and Its Applications 70
- Year: 1991
- Publisher: Springer Netherlands
- Edition: 1
- Language: English
- pdf
Content:
Front Matter....Pages i-xxvi
General Concepts of Group Theory....Pages 1-36
Main Types of Groups and Subgroups....Pages 37-72
Elements of Two-Dimensional Topology....Pages 73-111
Diagrams over Groups....Pages 112-151
A-Maps....Pages 152-193
Relations in Periodic Groups....Pages 194-217
Maps with Partitioned Boundaries of Cells....Pages 218-269
Partitions of Relators....Pages 270-295
Construction of Groups with Prescribed Properties....Pages 296-330
Extensions of Aspherical Groups....Pages 331-363
Presentations in Free Products....Pages 364-409
Applications to Other Problems....Pages 410-446
Conjugacy Relations....Pages 447-472
Back Matter....Pages 473-505
Content:
Front Matter....Pages i-xxvi
General Concepts of Group Theory....Pages 1-36
Main Types of Groups and Subgroups....Pages 37-72
Elements of Two-Dimensional Topology....Pages 73-111
Diagrams over Groups....Pages 112-151
A-Maps....Pages 152-193
Relations in Periodic Groups....Pages 194-217
Maps with Partitioned Boundaries of Cells....Pages 218-269
Partitions of Relators....Pages 270-295
Construction of Groups with Prescribed Properties....Pages 296-330
Extensions of Aspherical Groups....Pages 331-363
Presentations in Free Products....Pages 364-409
Applications to Other Problems....Pages 410-446
Conjugacy Relations....Pages 447-472
Back Matter....Pages 473-505
....
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