Articoli correlati a Theory of Finite Simple Groups
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This book provides the first representation theoretic and algorithmic approach to the theory of abstract finite simple groups. It presents self-contained proofs of classical and new group order formulas, and a new structure theorem for abstract finite simple groups. This, and the famous Brauer-Fowler theorem, provides the theoretical background for the author's algorithm which constructs all finite simple groups G having a 2-central involution z with a given centralizer CG(z)=H. The methods presented are designed for the construction of matrix representations, permutation representations and character tables of large finite groups. The author constructs all the simple satellites of the known simple groups that are not uniquely determined by a given centralizer H. Uniform existence and uniqueness proofs are given for the modern sporadic simple groups discovered by Janko, Higman and Sims, Harada, and Thompson. This latter result proves a long standing open problem in the theory. The experimental results (courtesy of M. Weller) for Chapter 12 are documented in the accompanying DVD.
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Recensione
'The approach described and advocated by Michler in this book is remarkable in that it offers a uniform method that can, in principle, be used to prove computationally the existence and uniqueness of almost all the sporadic simple groups.' Bulletin of the American Mathematical Society
Descrizione del libro
This book provides the first representation theoretic and algorithmic approach to the theory of abstract finite simple groups. Concrete applications are demonstrated in the construction of the simple satellites of the known simple groups which are not uniquely determined by a given centralizer.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
- EditoreCambridge University Press
- Data di pubblicazione2006
- ISBN 10 0521866251
- ISBN 13 9780521866255
- RilegaturaCopertina rigida
- LinguaInglese
- Numero edizione1
- Numero di pagine614
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Theory of Finite Simple Groups
Editore:
Cambridge University Press, 2006
ISBN 10: 0521866251
ISBN 13: 9780521866255
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Da: BookHolders, Towson, MD, U.S.A.
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Condizione: Good. [ No Hassle 30 Day Returns ][ Ships Daily ] [ Underlining/Highlighting: NONE ] [ Writing: NONE ] [ Edition: Eight ] [ 1 CD/Disk(s) Included ] Publisher: Csmbridge University Press Pub Date: 1/1/2006 Binding: Hardcover Pages: 662 Eight edition. Codice articolo 6587371
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Theory of Finite Simple Groups (New Mathematical Monographs)
Editore:
Cambridge University Press, 2006
ISBN 10: 0521866251
ISBN 13: 9780521866255
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Da: Labyrinth Books, Princeton, NJ, U.S.A.
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Condizione: Acceptable. Codice articolo 093565
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Theory of Finite Simple Groups. With DVD-ROM. (= Reihe: New Mathematical Monographs, Volume 8). Erstausgabe.
Editore:
Cambridge University Press, Cambridge, New York, Melbourne, Madrid, Cape Town, Singapore, Sao Paulo, 2006
ISBN 10: 0521866251
ISBN 13: 9780521866255
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Prima edizione
Da: Versandantiquariat Abendstunde, Ludwigshafen am Rhein, Germania
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Hardcover/gebunden. Condizione: gut. First Edition. Blauer Pappeinband mit goldgeprägtem Rücken- und Deckeltitel, DVD-Rom in montierter Hinterdeckelhülle und Schutzumschlag. Der Umschlag etwas berieben bzw. mit leichten Kratzern, der Schnitte leicht berieben, der Kopfschnitt auch dezent fleckig, die ersten Seiten randknickig (Seitenrand), einzelne Seiten mit winzigem Knickchen der oberen Ecke oder kleinem Randknick, ansonsten guter Erhaltungszustand. "This book provides the first representation theoretic and algorithmic approach to the theory of abstract finite simple groups. It presents self-contained proofs of classical and new group order formulas, and a new structure theorem for abstract finite simple groups. This, and the famous Brauer-Fowler theorem, provides the theoretical background for the author's algorithm which constructs all finite simple groups G having a 2-central involution z with a given centralizer CG(z)=H. The methods presented are designed for the construction of matrix representations, permutation representations and character tables of large finite groups. The author constructs all the simple satellites of the known simple groups that are not uniquely determined by a given centralizer H. Uniform existence and uniqueness proofs are given for the modern sporadic simple groups discovered by Janko, Higman and Sims, Harada, and Thompson. This latter result proves a long standing open problem in the theory. The experimental results (courtesy of M. Weller) for Chapter 12 are documented in the accompanying DVD." (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. IX, (III), 662, (6) pages. Groß 8° (155 x 234mm). Codice articolo BN33118
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Foto dell'editore
Theory of Finite Simple Groups (New Mathematical Monographs)
Editore:
Cambridge University Press, 2006
ISBN 10: 0521866251
ISBN 13: 9780521866255
Antico o usato
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Da: dsmbooks, Liverpool, Regno Unito
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Hardcover. Condizione: Good. Good. book. Codice articolo D8S0-3-M-0521866251-3
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