A course on geometric group theory

Contents......Page all_10646_to_00110.cpc0005.djvu
0. Indroduction......Page all_10646_to_00110.cpc0007.djvu
1.2. Generating sets......Page all_10646_to_00110.cpc0008.djvu
1.3. Free groups......Page all_10646_to_00110.cpc0011.djvu
1.4. Construction of free groups......Page all_10646_to_00110.cpc0013.djvu
1.5. Group presentations......Page all_10646_to_00110.cpc0016.djvu
1.6. Abelianisations......Page all_10646_to_00110.cpc0018.djvu
2.1. Basic terminology and notation......Page all_10646_to_00110.cpc0019.djvu
2.2. Graphs viewed as metric and topological spaces......Page all_10646_to_00110.cpc0020.djvu
2.3. Graphs associated to groups......Page all_10646_to_00110.cpc0021.djvu
3.1. Metric spaces......Page all_10646_to_00110.cpc0028.djvu
3.2. Isometries......Page all_10646_to_00110.cpc0031.djvu
3.3. Definition of quasi-isometries......Page all_10646_to_00110.cpc0032.djvu
3.4. Cayley graphs again......Page all_10646_to_00110.cpc0038.djvu
3.5. A useful construction......Page all_10646_to_00110.cpc0040.djvu
3.6. Quasi-isometry and commensurability......Page all_10646_to_00110.cpc0041.djvu
3.7. Quasi-isometry invariants......Page all_10646_to_00110.cpc0045.djvu
4.1. Definition of fundamental groups......Page all_10646_to_00110.cpc0046.djvu
4.2. Covering spaces......Page all_10646_to_00110.cpc0050.djvu
4.3. Applications to free groups......Page all_10646_to_00110.cpc0052.djvu
5.1. The hyperbolic plane......Page all_10646_to_00110.cpc0055.djvu
5.2. Some properties of the hyperbolic plane......Page all_10646_to_00110.cpc0058.djvu
5.3. Tessellations of H2......Page all_10646_to_00110.cpc0059.djvu
5.4. Surfaces......Page all_10646_to_00110.cpc0060.djvu
5.5. 3-dimensional hyperbolic geometry......Page all_10646_to_00110.cpc0064.djvu
6.1. Definition of a hyperbolic space......Page all_10646_to_00110.cpc0067.djvu
6.2. Basic properties......Page all_10646_to_00110.cpc0069.djvu
6.3. Projections......Page all_10646_to_00110.cpc0073.djvu
6.4. Trees in hyperbolic spaces......Page all_10646_to_00110.cpc0075.djvu
6.5. The four-point condition......Page all_10646_to_00110.cpc0078.djvu
6.6. Exponential growth of distances......Page all_10646_to_00110.cpc0081.djvu
6.7. Quasigeodesics......Page all_10646_to_00110.cpc0083.djvu
6.9. Quasi-isometry invariance of hyperbolidty......Page all_10646_to_00110.cpc0086.djvu
6.10. Hyperbolic groups......Page all_10646_to_00110.cpc0088.djvu
6.11. Some properties of hyperbolic groups......Page all_10646_to_00110.cpc0089.djvu
7. Notes......Page all_10646_to_00110.cpc0095.djvu
References......Page all_10646_to_00110.cpc0101.djvu