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Theory of Finite Simple Groups II: Commentary on the Classification Problems (New Mathematical Monographs, Series Number 14) - Hardcover
Synopsis
This is a coherent explanation for the existence of the 26 known sporadic simple groups originally arising from many unrelated contexts. The given proofs build on the close relations between general group theory, ordinary character theory, modular representation theory and algorithmic algebra described in the first volume. The author presents a new algorithm by which 25 sporadic simple groups can be constructed (the smallest Mathieu group M11 can be omitted for theoretical reasons), and demonstrates that it is not restricted to sporadic simple groups. He also describes the constructions of various groups and proves their uniqueness whenever possible. The computational existence proofs are documented in the accompanying DVD. The author also states several open problems related to the theorem asserting that there are exactly 26 groups, and R. Brauer's warning that there may be infinitely many. Some of these problems require new experiments with the author's algorithm.
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Book Description
This is a coherent explanation for the existence of the 26 known sporadic simple groups originally arising from many unrelated contexts. The given proofs build on the intimate relations between general group theory, ordinary character theory, modular representation theory and algorithmic algebra described in the first volume.
About the Author
Gerhard Michler is an Emeritus Professor of the Institute of Experimental Mathematics at the University of Duisburg-Essen and Adjunct Professor at Cornell University.
"About this title" may belong to another edition of this title.
- PublisherCambridge University Press
- Publication date2010
- ISBN 10 0521764912
- ISBN 13 9780521764919
- BindingHardcover
- LanguageEnglish
- Edition number1
- Number of pages746
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Theory of Finite Simple Groups II: Commentary on the Classification Problems (New Mathematical Monographs)
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ISBN 13: 9780521764919
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Theory of Finite Simple Groups II: Commentary on the Classification Problems (New Mathematical Monographs)
Published by
Cambridge University Press, 2010
ISBN 10: 0521764912
ISBN 13: 9780521764919
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Theory of Finite Simple Groups II: Commentary on the Classification Problems (New Mathematical Monographs, 14, Band 14).
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Gebundene Ausgabe, Gr.-8°. Condition: Sehr gut. 1. 746 S. Das Buch ist in sehr gutem, sauberen Zustand. Gebundenes Buch mit Original-Schutzumschlag. Dieser mit leichten Randläsuren. Sonst sauberes und wohlerhaltenes Exemplar. ISBN: 9780521764919 Wir senden umgehend mit beiliegender MwSt.Rechnung. Sprache: Englisch Gewicht in Gramm: 1202. Seller Inventory # 668963
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Theory of Finite Simple Groups II. Commentary on the Classification Problems. With DVD-ROM. (= Reihe: New Mathematical Monographs, Volume 14). Erstausgabe.
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Cambridge University Press, Cambridge, New York, Melbourne, Madrid, Cape Town, Singapore, Sao Paulo, Delhi, 2010
ISBN 10: 0521764912
ISBN 13: 9780521764919
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Hardcover/gebunden. Condition: gut. First Edition. Blauer Pappeinband mit goldgeprägtem Rücken- und Deckeltitel, DVD-Rom in montierter Hinterdeckelhülle und Schutzumschlag. Umschlag und Schnitte dezent berieben, ansonsten guter bis sehr guter Erhaltungszustand. "This is a coherent explanation for the existence of the 26 known sporadic simple groups originally arising from many unrelated contexts. The given proofs build on the close relations between general group theory, ordinary character theory, modular representation theory and algorithmic algebra described in the first volume. The author presents a new algorithm by which 25 sporadic simple groups can be constructed (the smallest Mathieu group M11 can be omitted for theoretical reasons), and demonstrates that it is not restricted to sporadic simple groups. He also describes the constructions of various groups and proves their uniqueness whenever possible. The computational existence proofs are documented in the accompanying DVD. The author also states several open problems related to the theorem asserting that there are exactly 26 groups, and R. Brauer's warning that there may be infinitely many. Some of these problems require new experiments with the author's algorithm." (Verlagstext) Gerhard O. Michler (* 5. Mai 1938 in Braunschweig) ist ein deutscher Mathematiker, der sich mit Darstellungstheorie und Gruppentheorie beschäftigt. Michler wurde 1965 an der Johann Wolfgang Goethe-Universität Frankfurt am Main bei Reinhold Baer promoviert (Radikale und Sockel). Er absolvierte ein Postdoktorat an der Cornell University in Ithaca, New York, USA. Während dieser Zeit wurde seine Tochter Ruth I. Michler geboren. Er habilitierte sich 1968 an der Eberhard Karls Universität Tübingen, wurde 1973 ordentlicher Professor in Gießen und war danach ab Ende der 1970er Jahre Professor an der Universität Duisburg-Essen. Zurzeit ist er Adjunct Professor an der Cornell University (2010). Michler organisierte Tagungen zur Darstellungstheorie am Mathematischen Forschungsinstitut Oberwolfach mit Bertram Huppert und Jonathan L. Alperin. Zu seinen Doktoranden zählen Christine Bessenrodt, Karin Erdmann und Jochen Ziegenbalg. (Wikipedia) In englischer Sprache. XI, (I), 733, (7) pages. Groß 8° (157 x 234mm). Seller Inventory # BN33119
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Theory of Finite Simple Groups II: Commentary on the Classification Problems (New Mathematical Monographs)
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Theory of Finite Simple Groups Ii (Hardcover)
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Hardcover. Condition: new. Hardcover. This is a coherent explanation for the existence of the 26 known sporadic simple groups originally arising from many unrelated contexts. The given proofs build on the close relations between general group theory, ordinary character theory, modular representation theory and algorithmic algebra described in the first volume. The author presents a new algorithm by which 25 sporadic simple groups can be constructed (the smallest Mathieu group M11 can be omitted for theoretical reasons), and demonstrates that it is not restricted to sporadic simple groups. He also describes the constructions of various groups and proves their uniqueness whenever possible. The computational existence proofs are documented in the accompanying DVD. The author also states several open problems related to the theorem asserting that there are exactly 26 groups, and R. Brauer's warning that there may be infinitely many. Some of these problems require new experiments with the author's algorithm. This is a coherent explanation for the existence of the 26 known sporadic simple groups originally arising from many unrelated contexts. The given proofs build on the intimate relations between general group theory, ordinary character theory, modular representation theory and algorithmic algebra described in the first volume. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521764919
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Theory of Finite Simple Groups II: Commentary on the Classification Problems
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