Endliche Permutationsgruppen (Paperback)
Language: German
Published by Springer Fachmedien Wiesbaden, Weisbaden, 2017
- First Edition
- Softcover
- New
Seller: Grand Eagle Retail, Bensenville, IL, U.S.A.Grand Eagle Retail
AbeBooks seller since October 12, 2005
Condition: New
£ 28.96
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Paperback. Dieses Buch ueber Permutationsgruppen bietet neben modernen Beweisen klassischer Ergebnisse, die bislang nicht in Buchform erschienen sind, einen Zugang zur Klassifikation der primitiven Gruppen. Symmetriebetrachtungen von geometrischen Objekten spielen in vielen Naturwissenschaften eine bedeutende Rolle und lassen sich mathematisch durch Permutationsgruppen modellieren. Nachdem wir in diesem Buch eine beliebige Permutationsgruppe in ihre primitiven Bestandteile zerlegt haben, beweisen wir den wichtigen Klassifikationssatz von Aschbacher-O'Nan-Scott, wonach jede primitive Gruppe zu genau einer von fuenf Familien gehoert. Dieses Resultat erlaubt es zum Beispiel die 2-transitiven Gruppen explizit anzugeben, sodass wir uns im Folgenden auf die primitiven Gruppen, die nicht 2-transitiv sind, konzentrieren koennen. Die hierfuer entwickelte Theorie der Subgrade ermoeglicht uns als Anwendung einen Spezialfall des Satzes von Feit-Thompson zu beweisen. Neben zahlreichen Informationen ueber aktuelle Entwicklungen stehen dem Studierenden ueber 100 UEbungsaufgaben mit vollstaendigen Loesungen zur Selbstkontrolle zur Verfuegung. Vorausgesetzt werden lediglich Kenntnisse einer Algebra-Vorlesung, wobei wir die Grundlagen der elementaren Gruppentheorie im ersten Kapitel wiederholen. Abgerundet wird das Werk durch einen Anhang mit alternativen Beweisen und Quellcodes fuer die Computeralgebrasysteme GAP und MAGMA. Dieses Buch ueber Permutationsgruppen bietet neben modernen Beweisen klassischer Ergebnisse, die bislang nicht in Buchform erschienen sind, einen Zugang zur Klassifikation der primitiven Gruppen. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.…
Seller Inventory # 9783658175962
- Title
- Endliche Permutationsgruppen (Paperback)
- Author
- Benjamin Sambale
- Publisher
- Springer Fachmedien Wiesbaden, Weisbaden
- Publication year
- 2017
- Condition
- new
- Binding
- Paperback
- Language
- German
- ISBN 10
- 3658175966
- ISBN 13
- 9783658175962
- Edition
- 1st Edition
"Synopsis" may belong to another edition of this title.
About the Author
"About the title" may belong to another edition of this title.
Grand Eagle Retail
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AbeBooks seller since October 12, 2005
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