Theory of Finite Simple Groups II: Commentary on the Classification Problems: Series Number 14 (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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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.
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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: Commentary on the Classification Problems (New Mathematical Monographs, 14, Band 14).
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Theory of Finite Simple Groups II : Commentary on the Classification Problems
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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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Seller: Versandantiquariat Abendstunde, Ludwigshafen am Rhein, Germany
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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
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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
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ISBN 10: 0521764912
ISBN 13: 9780521764919
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Theory of Finite Simple Groups, Vol. 2: Commentary on the Classification Problems with CD-ROM.
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Condition: New. Brand New! Fast Delivery This is an International Edition and ship within 24-48 hours. Deliver by FedEx and Dhl, & Aramex, UPS, & USPS and we do accept APO and PO BOX Addresses. Order can be delivered worldwide within 7-10 days and we do have flat rate for up to 2LB. Extra shipping charges will be requested if the Book weight is more than 5 LB. This Item May be shipped from India, United states & United Kingdom. Depending on your location and availability. Seller Inventory # CBS 9780521764919
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Theory of Finite Simple Groups Ii (Hardcover)
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ISBN 13: 9780521764919
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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 our UK warehouse or from our Australian or US warehouses, 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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Hardcover. Condition: Brand New. 725 pages. 9.13x6.22x1.89 inches. In Stock. Seller Inventory # __0521764912