A Course in the Theory of Groups:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1996
|
| Ausgabe: | Second Edition |
| Schriftenreihe: | Graduate Texts in Mathematics
80 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | A Course in the Theory of Groups is a comprehensive introduction to the theory of groups - finite and infinite, commutative and non-commutative. Presupposing only a basic knowledge of modern algebra, it introduces the reader to the different branches of group theory and to its principal accomplishments. While stressing the unity of group theory, the book also draws attention to connections with other areas of algebra such as ring theory and homological algebra. This new edition has been updated at various points, some proofs have been improved, and lastly about thirty additional exercises are included. There are three main additions to the book. In the chapter on group extensions an exposition of Schreier's concrete approach via factor sets is given before the introduction of covering groups. This seems to be desirable on pedagogical grounds. Then S. Thomas's elegant proof of the automorphism tower theorem is included in the section on complete groups. Finally an elementary counterexample to the Burnside problem due to N.D. Gupta has been added in the chapter on finiteness properties |
| Beschreibung: | 1 Online-Ressource (XVII, 502 p) |
| ISBN: | 9781441985941 9781461264439 |
| ISSN: | 0072-5285 |
| DOI: | 10.1007/978-1-4419-8594-1 |
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Datensatz im Suchindex
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| dewey-full | 512.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
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| dewey-search | 512.2 |
| dewey-sort | 3512.2 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4419-8594-1 |
| edition | Second Edition |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:04Z |
| institution | BVB |
| isbn | 9781441985941 9781461264439 |
| issn | 0072-5285 |
| language | English |
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| spelling | Robinson, Derek J. S. Verfasser aut A Course in the Theory of Groups by Derek J. S. Robinson Second Edition New York, NY Springer New York 1996 1 Online-Ressource (XVII, 502 p) txt rdacontent c rdamedia cr rdacarrier Graduate Texts in Mathematics 80 0072-5285 A Course in the Theory of Groups is a comprehensive introduction to the theory of groups - finite and infinite, commutative and non-commutative. Presupposing only a basic knowledge of modern algebra, it introduces the reader to the different branches of group theory and to its principal accomplishments. While stressing the unity of group theory, the book also draws attention to connections with other areas of algebra such as ring theory and homological algebra. This new edition has been updated at various points, some proofs have been improved, and lastly about thirty additional exercises are included. There are three main additions to the book. In the chapter on group extensions an exposition of Schreier's concrete approach via factor sets is given before the introduction of covering groups. This seems to be desirable on pedagogical grounds. Then S. Thomas's elegant proof of the automorphism tower theorem is included in the section on complete groups. Finally an elementary counterexample to the Burnside problem due to N.D. Gupta has been added in the chapter on finiteness properties Mathematics Group theory Group Theory and Generalizations Mathematik Gruppentheorie (DE-588)4072157-7 gnd rswk-swf Gruppentheorie (DE-588)4072157-7 s 1\p DE-604 https://doi.org/10.1007/978-1-4419-8594-1 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Robinson, Derek J. S. A Course in the Theory of Groups Mathematics Group theory Group Theory and Generalizations Mathematik Gruppentheorie (DE-588)4072157-7 gnd |
| subject_GND | (DE-588)4072157-7 |
| title | A Course in the Theory of Groups |
| title_auth | A Course in the Theory of Groups |
| title_exact_search | A Course in the Theory of Groups |
| title_full | A Course in the Theory of Groups by Derek J. S. Robinson |
| title_fullStr | A Course in the Theory of Groups by Derek J. S. Robinson |
| title_full_unstemmed | A Course in the Theory of Groups by Derek J. S. Robinson |
| title_short | A Course in the Theory of Groups |
| title_sort | a course in the theory of groups |
| topic | Mathematics Group theory Group Theory and Generalizations Mathematik Gruppentheorie (DE-588)4072157-7 gnd |
| topic_facet | Mathematics Group theory Group Theory and Generalizations Mathematik Gruppentheorie |
| url | https://doi.org/10.1007/978-1-4419-8594-1 |
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