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Published by Springer Fachmedien Wiesbaden, Weisbaden, 2017
ISBN 10: 3658175966 ISBN 13: 9783658175962
Language: German
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Paperback. Condition: new. 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.
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Add to basketCondition: Good. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,500grams, ISBN:9783319120058.
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Published by Springer International Publishing AG, Cham, 2014
ISBN 10: 3319120050 ISBN 13: 9783319120058
Language: English
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Paperback. Condition: new. Paperback. Providing a nearly complete selection of up-to-date methods and results on block invariants with respect to their defect groups, this book covers the classical theory pioneered by Brauer, the modern theory of fusion systems introduced by Puig, the geometry of numbers developed by Minkowski, the classification of finite simple groups, and various computer assisted methods. In a powerful combination, these tools are applied to solve many special cases of famous open conjectures in the representation theory of finite groups. Most of the material is drawn from peer-reviewed journal articles, but there are also new previously unpublished results. In order to make the text self-contained, detailed proofs are given whenever possible. Several tables add to the text's usefulness as a reference. The book is aimed at experts in group theory or representation theory who may wish to make use of the presented ideas in their research. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
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Published by Springer Distribution Center GmbH (SDC), 2014
ISBN 10: 3319120050 ISBN 13: 9783319120058
Language: English
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Brossura. Condition: fine. Heidelberg, 2014; br., pp. 260, cm 24x17. Libro.
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Published by Springer International Publishing AG, 2014
ISBN 10: 3319120050 ISBN 13: 9783319120058
Language: English
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Add to basketCondition: New. Series: Lecture Notes in Mathematics. Num Pages: 256 pages, 1 black & white illustrations, 4 black & white tables, biography. BIC Classification: PBG. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 14. Weight in Grams: 403. . 2014. 2014th Edition. paperback. . . . .
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Published by Springer International Publishing AG, 2014
ISBN 10: 3319120050 ISBN 13: 9783319120058
Language: English
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Condition: New. Series: Lecture Notes in Mathematics. Num Pages: 256 pages, 1 black & white illustrations, 4 black & white tables, biography. BIC Classification: PBG. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 14. Weight in Grams: 403. . 2014. 2014th Edition. paperback. . . . . Books ship from the US and Ireland.
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Add to basketPaperback. Condition: Brand New. 2014 edition. 225 pages. 9.00x6.25x0.75 inches. In Stock.
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Published by Springer International Publishing, Springer International Publishing Dez 2014, 2014
ISBN 10: 3319120050 ISBN 13: 9783319120058
Language: English
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Add to basketTaschenbuch. Condition: Neu. Neuware -Providing a nearly complete selection of up-to-date methods and results on block invariants with respect to their defect groups, this book covers the classical theory pioneered by Brauer, the modern theory of fusion systems introduced by Puig, the geometry of numbers developed by Minkowski, the classification of finite simple groups, and various computer assisted methods. In a powerful combination, these tools are applied to solve many special cases of famous open conjectures in the representation theory of finite groups. Most of the material is drawn from peer-reviewed journal articles, but there are also new previously unpublished results. In order to make the text self-contained, detailed proofs are given whenever possible. Several tables add to the text's usefulness as a reference. The book is aimed at experts in group theory or representation theory who may wish to make use of the presented ideas in their research.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 260 pp. Englisch.
Published by Springer International Publishing, Springer International Publishing, 2014
ISBN 10: 3319120050 ISBN 13: 9783319120058
Language: English
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Add to basketTaschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - Providing a nearly complete selection of up-to-date methods and results on block invariants with respect to their defect groups, this book covers the classical theory pioneered by Brauer, the modern theory of fusion systems introduced by Puig, the geometry of numbers developed by Minkowski, the classification of finite simple groups, and various computer assisted methods. In a powerful combination, these tools are applied to solve many special cases of famous open conjectures in the representation theory of finite groups. Most of the material is drawn from peer-reviewed journal articles, but there are also new previously unpublished results. In order to make the text self-contained, detailed proofs are given whenever possible. Several tables add to the text's usefulness as a reference. The book is aimed at experts in group theory or representation theory who may wish to make use of the presented ideas in their research.
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Add to basketCondition: New. 2017. Paperback. . . . . .
Published by Springer International Publishing AG, Cham, 2014
ISBN 10: 3319120050 ISBN 13: 9783319120058
Language: English
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Add to basketPaperback. Condition: new. Paperback. Providing a nearly complete selection of up-to-date methods and results on block invariants with respect to their defect groups, this book covers the classical theory pioneered by Brauer, the modern theory of fusion systems introduced by Puig, the geometry of numbers developed by Minkowski, the classification of finite simple groups, and various computer assisted methods. In a powerful combination, these tools are applied to solve many special cases of famous open conjectures in the representation theory of finite groups. Most of the material is drawn from peer-reviewed journal articles, but there are also new previously unpublished results. In order to make the text self-contained, detailed proofs are given whenever possible. Several tables add to the text's usefulness as a reference. The book is aimed at experts in group theory or representation theory who may wish to make use of the presented ideas in their research. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.
Condition: New. 2017. Paperback. . . . . . Books ship from the US and Ireland.