| Title Details: | |
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Groups and Topology |
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| Authors: |
Sykiotis, Mihalis |
| Subject: | MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > GROUP THEORY AND GENERALIZATIONS MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > GROUP THEORY AND GENERALIZATIONS > STRUCTURE AND CLASSIFFICATION OF INFINITE OR FINITE GROUPS MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > GROUP THEORY AND GENERALIZATIONS > SPECIAL ASPECTS OF INFINITE OR FINITE GROUPS MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > ALGEBRAIC TOPOLOGY > CLASSICAL TOPICS MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > ALGEBRAIC TOPOLOGY |
| Keywords: |
Free groups
Free products with amalgamation Higman-Neumann-Neumann extensions Groups acting on trees Fundamental group Covering spaces Homology groups Free products of groups |
| Description: | |
| Abstract: |
The purpose of this book is to introduce the readers to two areas of mathematics, the Geometric and Combinatorial group theory and the Algebraic Topology by highlighting the relationship between them, which is mainly based on the theorem of Seifert-Van Kampen and the action of a group on the universal cover of an appropriate topological space.
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| Linguistic Editors: |
Tsiadimou, Anastasia |
| Graphic Editors: |
Papavasiliou, Ioannis |
| Type: |
Postgraduate textbook |
| Creation Date: | 06-06-2023 |
| Item Details: | |
| ISBN |
978-618-5726-94-2 |
| License: |
Attribution - NonCommercial - ShareAlike 4.0 International (CC BY-NC-SA 4.0) |
| DOI | http://dx.doi.org/10.57713/kallipos-242 |
| Handle | http://hdl.handle.net/11419/9685 |
| Bibliographic Reference: | Sykiotis, M. (2023). Groups and Topology [Postgraduate textbook]. Kallipos, Open Academic Editions. https://dx.doi.org/10.57713/kallipos-242 |
| Language: |
Greek |
| Consists of: |
1. Free Groups and Free Products 2. Amalgamated Free Products and HNN Extensions 3. Groups Acting on Trees 4. More Properties of Free Groups and Free Products 5. Quotient Spaces 6. The Fundamental Group 7. Covering Spaces 8. The Theorem of Seifert-Van Kampen 9. Classification of Coverings 10. Homology |
| Number of pages |
280 |
| Publication Origin: |
Kallipos, Open Academic Editions |
| User comments | |
There are no published comments available! | |