Papers on Group Theory and Topology:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York, NY
Springer New York
1987
|
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | The work of Max Dehn (1878-1952) has been quietly influential in mathematics since the beginning of the 20th century. In 1900 he became the first to solve one of the famous Hilbert problems (the third, on the decomposition of polyhedra), in 1907 he collaborated with Heegaard to produce the first survey of topology, and in 1910 he began publishing his own investigations in topology and combinatorial group theory. His influence is apparent in the terms Dehn's algorithm, Dehn's lemma and Dehn surgery (and Dehnsche Gruppenbilder, generally known in English as Cayley diagrams), but direct access to his work has been difficult. No edition of his works has been produced, and some of his most important results were never published, at least not by him. The present volume is a modest attempt to bring Dehn's work to a wider audience, particularly topologists and group theorists curious about the origins of their subject and interested in mining the sources for new ideas. It consists of English translations of eight works : five of Dehn's major papers in topology and combinatorial group theory, and three unpublished works which illuminate the published papers and contain some results not available elsewhere. In addition, I have written a short introduction to each work, summarising its contents and trying to establish its place among related works of Dehn and others, and I have added an appendix on the Dehn-Nielsen theorem (often known simply as Nielsen's theorem) |
| Physical Description: | 1 Online-Ressource (VIII, 396p. 151 illus) |
| ISBN: | 9781461246688 9781461291077 |
| DOI: | 10.1007/978-1-4612-4668-8 |
Staff View
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| 500 | |a The work of Max Dehn (1878-1952) has been quietly influential in mathematics since the beginning of the 20th century. In 1900 he became the first to solve one of the famous Hilbert problems (the third, on the decomposition of polyhedra), in 1907 he collaborated with Heegaard to produce the first survey of topology, and in 1910 he began publishing his own investigations in topology and combinatorial group theory. His influence is apparent in the terms Dehn's algorithm, Dehn's lemma and Dehn surgery (and Dehnsche Gruppenbilder, generally known in English as Cayley diagrams), but direct access to his work has been difficult. No edition of his works has been produced, and some of his most important results were never published, at least not by him. The present volume is a modest attempt to bring Dehn's work to a wider audience, particularly topologists and group theorists curious about the origins of their subject and interested in mining the sources for new ideas. It consists of English translations of eight works : five of Dehn's major papers in topology and combinatorial group theory, and three unpublished works which illuminate the published papers and contain some results not available elsewhere. In addition, I have written a short introduction to each work, summarising its contents and trying to establish its place among related works of Dehn and others, and I have added an appendix on the Dehn-Nielsen theorem (often known simply as Nielsen's theorem) | ||
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Record in the Search Index
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| author | Dehn, Max |
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| ctrlnum | (OCoLC)863780834 (DE-599)BVBBV042420325 |
| dewey-full | 512.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
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| discipline | Mathematik |
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| language | English |
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| spelling | Dehn, Max Verfasser aut Papers on Group Theory and Topology by Max Dehn Translated and Introduced by New York, NY Springer New York 1987 1 Online-Ressource (VIII, 396p. 151 illus) txt rdacontent c rdamedia cr rdacarrier The work of Max Dehn (1878-1952) has been quietly influential in mathematics since the beginning of the 20th century. In 1900 he became the first to solve one of the famous Hilbert problems (the third, on the decomposition of polyhedra), in 1907 he collaborated with Heegaard to produce the first survey of topology, and in 1910 he began publishing his own investigations in topology and combinatorial group theory. His influence is apparent in the terms Dehn's algorithm, Dehn's lemma and Dehn surgery (and Dehnsche Gruppenbilder, generally known in English as Cayley diagrams), but direct access to his work has been difficult. No edition of his works has been produced, and some of his most important results were never published, at least not by him. The present volume is a modest attempt to bring Dehn's work to a wider audience, particularly topologists and group theorists curious about the origins of their subject and interested in mining the sources for new ideas. It consists of English translations of eight works : five of Dehn's major papers in topology and combinatorial group theory, and three unpublished works which illuminate the published papers and contain some results not available elsewhere. In addition, I have written a short introduction to each work, summarising its contents and trying to establish its place among related works of Dehn and others, and I have added an appendix on the Dehn-Nielsen theorem (often known simply as Nielsen's theorem) Mathematics Group theory Topology Group Theory and Generalizations Mathematik Topologie (DE-588)4060425-1 gnd rswk-swf Kombinatorische Gruppentheorie (DE-588)4219556-1 gnd rswk-swf Gruppentheorie (DE-588)4072157-7 gnd rswk-swf 1\p (DE-588)4143413-4 Aufsatzsammlung gnd-content Topologie (DE-588)4060425-1 s 2\p DE-604 Kombinatorische Gruppentheorie (DE-588)4219556-1 s 3\p DE-604 Gruppentheorie (DE-588)4072157-7 s 4\p DE-604 https://doi.org/10.1007/978-1-4612-4668-8 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Dehn, Max Papers on Group Theory and Topology Mathematics Group theory Topology Group Theory and Generalizations Mathematik Topologie (DE-588)4060425-1 gnd Kombinatorische Gruppentheorie (DE-588)4219556-1 gnd Gruppentheorie (DE-588)4072157-7 gnd |
| subject_GND | (DE-588)4060425-1 (DE-588)4219556-1 (DE-588)4072157-7 (DE-588)4143413-4 |
| title | Papers on Group Theory and Topology |
| title_alt | Translated and Introduced by |
| title_auth | Papers on Group Theory and Topology |
| title_exact_search | Papers on Group Theory and Topology |
| title_full | Papers on Group Theory and Topology by Max Dehn |
| title_fullStr | Papers on Group Theory and Topology by Max Dehn |
| title_full_unstemmed | Papers on Group Theory and Topology by Max Dehn |
| title_short | Papers on Group Theory and Topology |
| title_sort | papers on group theory and topology |
| topic | Mathematics Group theory Topology Group Theory and Generalizations Mathematik Topologie (DE-588)4060425-1 gnd Kombinatorische Gruppentheorie (DE-588)4219556-1 gnd Gruppentheorie (DE-588)4072157-7 gnd |
| topic_facet | Mathematics Group theory Topology Group Theory and Generalizations Mathematik Topologie Kombinatorische Gruppentheorie Gruppentheorie Aufsatzsammlung |
| url | https://doi.org/10.1007/978-1-4612-4668-8 |
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