Generalizations of Steinberg groups:
The Steinberg relations are the commutator relations which hold between elementary matrices in a special linear group. This book generalizes these sorts of relations. To encode these relations one needs a ring and a so-called linkage graph which specifies exactly which commutator relations hold. The...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c1996
|
| Schriftenreihe: | Series in algebra
v. 4 |
| Schlagworte: | |
| Online-Zugang: | FHN01 URL des Erstveroeffentlichers |
| Zusammenfassung: | The Steinberg relations are the commutator relations which hold between elementary matrices in a special linear group. This book generalizes these sorts of relations. To encode these relations one needs a ring and a so-called linkage graph which specifies exactly which commutator relations hold. The groups obtained here, called linkage groups, have an enormous number of interesting images, finite and infinite. Among these images are, for example, 25 of the 26 finite sporadic simple groups. The book deals with the structure and classification of linkage groups. Part of the work involves theoretical group combinatorics and the other part involves computer calculations to study the linkage structure of various interesting groups. The book will be of value to researchers and graduate students in combinatorial and computational group theory |
| Beschreibung: | xiii, 230 p. ill |
| ISBN: | 9789812831514 |
Internformat
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| 520 | |a The Steinberg relations are the commutator relations which hold between elementary matrices in a special linear group. This book generalizes these sorts of relations. To encode these relations one needs a ring and a so-called linkage graph which specifies exactly which commutator relations hold. The groups obtained here, called linkage groups, have an enormous number of interesting images, finite and infinite. Among these images are, for example, 25 of the 26 finite sporadic simple groups. The book deals with the structure and classification of linkage groups. Part of the work involves theoretical group combinatorics and the other part involves computer calculations to study the linkage structure of various interesting groups. The book will be of value to researchers and graduate students in combinatorial and computational group theory | ||
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Datensatz im Suchindex
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| author | Fournelle, T. A. |
| author_facet | Fournelle, T. A. |
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| author_sort | Fournelle, T. A. |
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| bvnumber | BV044636895 |
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| dewey-full | 512/.55 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.55 |
| dewey-search | 512/.55 |
| dewey-sort | 3512 255 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV044636895 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:50Z |
| institution | BVB |
| isbn | 9789812831514 |
| language | English |
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| physical | xiii, 230 p. ill |
| psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
| publishDate | 1996 |
| publishDateSearch | 1996 |
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| publisher | World Scientific Pub. Co. |
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| series2 | Series in algebra |
| spelling | Fournelle, T. A. Verfasser aut Generalizations of Steinberg groups T.A. Fournelle, K.W. Weston Singapore World Scientific Pub. Co. c1996 xiii, 230 p. ill txt rdacontent c rdamedia cr rdacarrier Series in algebra v. 4 The Steinberg relations are the commutator relations which hold between elementary matrices in a special linear group. This book generalizes these sorts of relations. To encode these relations one needs a ring and a so-called linkage graph which specifies exactly which commutator relations hold. The groups obtained here, called linkage groups, have an enormous number of interesting images, finite and infinite. Among these images are, for example, 25 of the 26 finite sporadic simple groups. The book deals with the structure and classification of linkage groups. Part of the work involves theoretical group combinatorics and the other part involves computer calculations to study the linkage structure of various interesting groups. The book will be of value to researchers and graduate students in combinatorial and computational group theory Group theory / Relations Steinberg-Gruppe (DE-588)4202757-3 gnd rswk-swf Steinberg-Gruppe (DE-588)4202757-3 s 1\p DE-604 Weston, K. W. Sonstige oth Erscheint auch als Druck-Ausgabe 9789810220280 Erscheint auch als Druck-Ausgabe 9810220286 http://www.worldscientific.com/worldscibooks/10.1142/2538#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Fournelle, T. A. Generalizations of Steinberg groups Group theory / Relations Steinberg-Gruppe (DE-588)4202757-3 gnd |
| subject_GND | (DE-588)4202757-3 |
| title | Generalizations of Steinberg groups |
| title_auth | Generalizations of Steinberg groups |
| title_exact_search | Generalizations of Steinberg groups |
| title_full | Generalizations of Steinberg groups T.A. Fournelle, K.W. Weston |
| title_fullStr | Generalizations of Steinberg groups T.A. Fournelle, K.W. Weston |
| title_full_unstemmed | Generalizations of Steinberg groups T.A. Fournelle, K.W. Weston |
| title_short | Generalizations of Steinberg groups |
| title_sort | generalizations of steinberg groups |
| topic | Group theory / Relations Steinberg-Gruppe (DE-588)4202757-3 gnd |
| topic_facet | Group theory / Relations Steinberg-Gruppe |
| url | http://www.worldscientific.com/worldscibooks/10.1142/2538#t=toc |
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