An Introduction to Geometric Group Theory
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910819663478784 |
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| author | Belolipetsky, Mikhail Paula, Gisele Teixeira |
| author_facet | Belolipetsky, Mikhail Paula, Gisele Teixeira |
| contents | This book provides a self-contained introduction to geometric group theory. The topics range from an introduction of Cayley and Schreier graphs to Gromov's theorem on groups of polynomial growth and amenability. We discuss the ping-pong lemma, quasi-isometries, growth of groups, hyperbolicity, and other related notions. The book is based on graduate courses and can be used for such a course or for independent study. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_17797 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | An Introduction to Geometric Group Theory Belolipetsky, Mikhail Paula, Gisele Teixeira Group Theory Geometric Topology Metric Geometry 20-01, 20F65, 20F05, 20F67, 20F69 This book provides a self-contained introduction to geometric group theory. The topics range from an introduction of Cayley and Schreier graphs to Gromov's theorem on groups of polynomial growth and amenability. We discuss the ping-pong lemma, quasi-isometries, growth of groups, hyperbolicity, and other related notions. The book is based on graduate courses and can be used for such a course or for independent study. |
| title | An Introduction to Geometric Group Theory |
| topic | Group Theory Geometric Topology Metric Geometry 20-01, 20F65, 20F05, 20F67, 20F69 |
| url | https://arxiv.org/abs/2409.17797 |