Groups with prescribed quotient groups and associated module theory:
The influence of different gomomorphic images on the structure of a group is one of the most important and natural problems of group theory. The problem of describing a group with all its gomomorphic images known, i.e. reconstructing the whole thing using its reflections, seems especially natural an...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c2002
|
| Schriftenreihe: | Series in algebra
v. 8 |
| Schlagworte: | |
| Online-Zugang: | FHN01 Volltext |
| Zusammenfassung: | The influence of different gomomorphic images on the structure of a group is one of the most important and natural problems of group theory. The problem of describing a group with all its gomomorphic images known, i.e. reconstructing the whole thing using its reflections, seems especially natural and promising. This theme has a history that is almost a half-century long. The authors of this book present well-established results as well as newer, contemporary achievements in this area from the common integral point of view. This view is based on the implementation of module theory for solving group problems. Evidently, this approach requires investigation of some specific types of modules: infinite simple modules and just infinite modules (note that every infinite noetherian module has either an infinite simple factor-module or a just infinite factor-module). This book will therefore be useful for group theorists as well as ring and module theorists. Also, the level, style, and presentation make the book easily accessible to graduate students |
| Beschreibung: | xvi, 227 p |
| ISBN: | 9789812778291 |
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| 520 | |a The influence of different gomomorphic images on the structure of a group is one of the most important and natural problems of group theory. The problem of describing a group with all its gomomorphic images known, i.e. reconstructing the whole thing using its reflections, seems especially natural and promising. This theme has a history that is almost a half-century long. The authors of this book present well-established results as well as newer, contemporary achievements in this area from the common integral point of view. This view is based on the implementation of module theory for solving group problems. Evidently, this approach requires investigation of some specific types of modules: infinite simple modules and just infinite modules (note that every infinite noetherian module has either an infinite simple factor-module or a just infinite factor-module). This book will therefore be useful for group theorists as well as ring and module theorists. Also, the level, style, and presentation make the book easily accessible to graduate students | ||
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| discipline | Mathematik |
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| id | DE-604.BV044635235 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:46Z |
| institution | BVB |
| isbn | 9789812778291 |
| language | English |
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| spelling | Kurdachenko, L. Verfasser aut Groups with prescribed quotient groups and associated module theory L. Kurdachenko, J. Otal, I. Subbotin Singapore World Scientific Pub. Co. c2002 xvi, 227 p txt rdacontent c rdamedia cr rdacarrier Series in algebra v. 8 The influence of different gomomorphic images on the structure of a group is one of the most important and natural problems of group theory. The problem of describing a group with all its gomomorphic images known, i.e. reconstructing the whole thing using its reflections, seems especially natural and promising. This theme has a history that is almost a half-century long. The authors of this book present well-established results as well as newer, contemporary achievements in this area from the common integral point of view. This view is based on the implementation of module theory for solving group problems. Evidently, this approach requires investigation of some specific types of modules: infinite simple modules and just infinite modules (note that every infinite noetherian module has either an infinite simple factor-module or a just infinite factor-module). This book will therefore be useful for group theorists as well as ring and module theorists. Also, the level, style, and presentation make the book easily accessible to graduate students Group theory Modules (Algebra) Faktorgruppe (DE-588)4730763-8 gnd rswk-swf Modul (DE-588)4129770-2 gnd rswk-swf Gruppe Mathematik (DE-588)4022379-6 gnd rswk-swf Gruppe Mathematik (DE-588)4022379-6 s Faktorgruppe (DE-588)4730763-8 s Modul (DE-588)4129770-2 s 1\p DE-604 Otal, Jean-Pierre Sonstige oth Subbotin, Igor Ya. 1950- Sonstige oth Erscheint auch als Druck-Ausgabe 9789810247836 Erscheint auch als Druck-Ausgabe 9810247834 http://www.worldscientific.com/worldscibooks/10.1142/4839#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Kurdachenko, L. Groups with prescribed quotient groups and associated module theory Group theory Modules (Algebra) Faktorgruppe (DE-588)4730763-8 gnd Modul (DE-588)4129770-2 gnd Gruppe Mathematik (DE-588)4022379-6 gnd |
| subject_GND | (DE-588)4730763-8 (DE-588)4129770-2 (DE-588)4022379-6 |
| title | Groups with prescribed quotient groups and associated module theory |
| title_auth | Groups with prescribed quotient groups and associated module theory |
| title_exact_search | Groups with prescribed quotient groups and associated module theory |
| title_full | Groups with prescribed quotient groups and associated module theory L. Kurdachenko, J. Otal, I. Subbotin |
| title_fullStr | Groups with prescribed quotient groups and associated module theory L. Kurdachenko, J. Otal, I. Subbotin |
| title_full_unstemmed | Groups with prescribed quotient groups and associated module theory L. Kurdachenko, J. Otal, I. Subbotin |
| title_short | Groups with prescribed quotient groups and associated module theory |
| title_sort | groups with prescribed quotient groups and associated module theory |
| topic | Group theory Modules (Algebra) Faktorgruppe (DE-588)4730763-8 gnd Modul (DE-588)4129770-2 gnd Gruppe Mathematik (DE-588)4022379-6 gnd |
| topic_facet | Group theory Modules (Algebra) Faktorgruppe Modul Gruppe Mathematik |
| url | http://www.worldscientific.com/worldscibooks/10.1142/4839#t=toc |
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