Structure of a Group and the Structure of its Lattice of Subgroups:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1956
|
| Schriftenreihe: | Ergebnisse der Mathematik und Ihrer Grenzgebiete, Unter Mitwirkung der Schriftleitung des "Zentralblatt für Mathemathik"
10 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The central theme of this monograph is the relation between the structure of a group and the structure of its lattice of subgroups. Since the first papers on this topic have appeared, notably those of BAER and ORE, a large body of literature has grown up around this theory, and it is our aim to give a picture of the present state of this theory. To obtain a systematic treatment of the subject quite a few unpublished results of the author had to be included. On the other hand, it is natural that we could not reproduce every detail and had to treat some parts some wh at sketchily. We have tried to make this report as self-contained as possible. Accordingly we have given some proofs in considerable detail, though of course it is in the nature of such areport that many proofs have to be omitted or can only be given in outline. Similarly references to the concepts and theorems used are almost exclusively references to standard works like BIRKHOFF [lJ and ZASSENHAUS [lJ. The author would like to express his sincere gratitude to Professors REINHOLD BAER and DONALD G. HIGMAN for their kindness in giving hirn many valuable suggestions. His thanks are also due to Dr. NOBORU ITo who, during stimulating conversations, contributed many useful ideas. Urbana, May, 1956. M. Suzuki. Contents |
| Beschreibung: | 1 Online-Ressource (VIII, 96 p.) 1 illus |
| ISBN: | 9783642527586 9783642527609 |
| ISSN: | 0071-1136 |
| DOI: | 10.1007/978-3-642-52758-6 |
Internformat
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| 245 | 1 | 0 | |a Structure of a Group and the Structure of its Lattice of Subgroups |c by Michio Suzuki |
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Datensatz im Suchindex
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|---|---|
| any_adam_object | |
| author | Suzuki, Michio 1926-1998 |
| author_GND | (DE-588)172391695 |
| author_facet | Suzuki, Michio 1926-1998 |
| author_role | aut |
| author_sort | Suzuki, Michio 1926-1998 |
| author_variant | m s ms |
| building | Verbundindex |
| bvnumber | BV042422594 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)863884228 (DE-599)BVBBV042422594 |
| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-642-52758-6 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:11Z |
| institution | BVB |
| isbn | 9783642527586 9783642527609 |
| issn | 0071-1136 |
| language | English |
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| series2 | Ergebnisse der Mathematik und Ihrer Grenzgebiete, Unter Mitwirkung der Schriftleitung des "Zentralblatt für Mathemathik" |
| spelling | Suzuki, Michio 1926-1998 Verfasser (DE-588)172391695 aut Structure of a Group and the Structure of its Lattice of Subgroups by Michio Suzuki Berlin, Heidelberg Springer Berlin Heidelberg 1956 1 Online-Ressource (VIII, 96 p.) 1 illus txt rdacontent c rdamedia cr rdacarrier Ergebnisse der Mathematik und Ihrer Grenzgebiete, Unter Mitwirkung der Schriftleitung des "Zentralblatt für Mathemathik" 10 0071-1136 The central theme of this monograph is the relation between the structure of a group and the structure of its lattice of subgroups. Since the first papers on this topic have appeared, notably those of BAER and ORE, a large body of literature has grown up around this theory, and it is our aim to give a picture of the present state of this theory. To obtain a systematic treatment of the subject quite a few unpublished results of the author had to be included. On the other hand, it is natural that we could not reproduce every detail and had to treat some parts some wh at sketchily. We have tried to make this report as self-contained as possible. Accordingly we have given some proofs in considerable detail, though of course it is in the nature of such areport that many proofs have to be omitted or can only be given in outline. Similarly references to the concepts and theorems used are almost exclusively references to standard works like BIRKHOFF [lJ and ZASSENHAUS [lJ. The author would like to express his sincere gratitude to Professors REINHOLD BAER and DONALD G. HIGMAN for their kindness in giving hirn many valuable suggestions. His thanks are also due to Dr. NOBORU ITo who, during stimulating conversations, contributed many useful ideas. Urbana, May, 1956. M. Suzuki. Contents Mathematics Mathematics, general Mathematik Gruppendynamik (DE-588)4022392-9 gnd rswk-swf Untergruppenverband (DE-588)4461760-4 gnd rswk-swf Gruppentheorie (DE-588)4072157-7 gnd rswk-swf Untergruppenverband (DE-588)4461760-4 s 1\p DE-604 Gruppentheorie (DE-588)4072157-7 s 2\p DE-604 Gruppendynamik (DE-588)4022392-9 s 3\p DE-604 https://doi.org/10.1007/978-3-642-52758-6 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 |
| spellingShingle | Suzuki, Michio 1926-1998 Structure of a Group and the Structure of its Lattice of Subgroups Mathematics Mathematics, general Mathematik Gruppendynamik (DE-588)4022392-9 gnd Untergruppenverband (DE-588)4461760-4 gnd Gruppentheorie (DE-588)4072157-7 gnd |
| subject_GND | (DE-588)4022392-9 (DE-588)4461760-4 (DE-588)4072157-7 |
| title | Structure of a Group and the Structure of its Lattice of Subgroups |
| title_auth | Structure of a Group and the Structure of its Lattice of Subgroups |
| title_exact_search | Structure of a Group and the Structure of its Lattice of Subgroups |
| title_full | Structure of a Group and the Structure of its Lattice of Subgroups by Michio Suzuki |
| title_fullStr | Structure of a Group and the Structure of its Lattice of Subgroups by Michio Suzuki |
| title_full_unstemmed | Structure of a Group and the Structure of its Lattice of Subgroups by Michio Suzuki |
| title_short | Structure of a Group and the Structure of its Lattice of Subgroups |
| title_sort | structure of a group and the structure of its lattice of subgroups |
| topic | Mathematics Mathematics, general Mathematik Gruppendynamik (DE-588)4022392-9 gnd Untergruppenverband (DE-588)4461760-4 gnd Gruppentheorie (DE-588)4072157-7 gnd |
| topic_facet | Mathematics Mathematics, general Mathematik Gruppendynamik Untergruppenverband Gruppentheorie |
| url | https://doi.org/10.1007/978-3-642-52758-6 |
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