Topics in Combinatorial Group Theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Basel
Birkhäuser Basel
1993
|
| Schriftenreihe: | Lectures in Mathematics ETH Zürich, Department of Mathematics Research Institute of Mathematics
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Combinatorial group theory is a loosely defined subject, with close connections to topology and logic. With surprising frequency, problems in a wide variety of disciplines, including differential equations, automorphic functions and geometry, have been distilled into explicit questions about groups, typically of the following kind: Are the groups in a given class finite (e.g., the Burnside problem)? Finitely generated? Finitely presented? What are the conjugates of a given element in a given group? What are the subgroups of that group? Is there an algorithm for deciding for every pair of groups in a given class whether they are isomorphic or not? The objective of combinatorial group theory is the systematic development of algebraic techniques to settle such questions. In view of the scope of the subject and the extraordinary variety of groups involved, it is not surprising that no really general theory exists. These notes, bridging the very beginning of the theory to new results and developments, are devoted to a number of topics in combinatorial group theory and serve as an introduction to the subject on the graduate level |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9783034885874 9783764329211 |
| DOI: | 10.1007/978-3-0348-8587-4 |
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Datensatz im Suchindex
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| discipline | Allgemeine Naturwissenschaft Mathematik |
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| indexdate | 2024-07-10T01:21:10Z |
| institution | BVB |
| isbn | 9783034885874 9783764329211 |
| language | English |
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| spelling | Baumslag, Gilbert Verfasser aut Topics in Combinatorial Group Theory by Gilbert Baumslag Basel Birkhäuser Basel 1993 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Lectures in Mathematics ETH Zürich, Department of Mathematics Research Institute of Mathematics Combinatorial group theory is a loosely defined subject, with close connections to topology and logic. With surprising frequency, problems in a wide variety of disciplines, including differential equations, automorphic functions and geometry, have been distilled into explicit questions about groups, typically of the following kind: Are the groups in a given class finite (e.g., the Burnside problem)? Finitely generated? Finitely presented? What are the conjugates of a given element in a given group? What are the subgroups of that group? Is there an algorithm for deciding for every pair of groups in a given class whether they are isomorphic or not? The objective of combinatorial group theory is the systematic development of algebraic techniques to settle such questions. In view of the scope of the subject and the extraordinary variety of groups involved, it is not surprising that no really general theory exists. These notes, bridging the very beginning of the theory to new results and developments, are devoted to a number of topics in combinatorial group theory and serve as an introduction to the subject on the graduate level Science (General) Science, general Naturwissenschaft Kombinatorische Gruppentheorie (DE-588)4219556-1 gnd rswk-swf Kombinatorische Gruppentheorie (DE-588)4219556-1 s 1\p DE-604 https://doi.org/10.1007/978-3-0348-8587-4 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Baumslag, Gilbert Topics in Combinatorial Group Theory Science (General) Science, general Naturwissenschaft Kombinatorische Gruppentheorie (DE-588)4219556-1 gnd |
| subject_GND | (DE-588)4219556-1 |
| title | Topics in Combinatorial Group Theory |
| title_auth | Topics in Combinatorial Group Theory |
| title_exact_search | Topics in Combinatorial Group Theory |
| title_full | Topics in Combinatorial Group Theory by Gilbert Baumslag |
| title_fullStr | Topics in Combinatorial Group Theory by Gilbert Baumslag |
| title_full_unstemmed | Topics in Combinatorial Group Theory by Gilbert Baumslag |
| title_short | Topics in Combinatorial Group Theory |
| title_sort | topics in combinatorial group theory |
| topic | Science (General) Science, general Naturwissenschaft Kombinatorische Gruppentheorie (DE-588)4219556-1 gnd |
| topic_facet | Science (General) Science, general Naturwissenschaft Kombinatorische Gruppentheorie |
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