Synopsis
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.
"synopsis" may belong to another edition of this title.
About the Author
Gerhard Michler is an Emeritus Professor of the Institute of Experimental Mathematics at the Univerity of Duisburg-Essen
"About this title" may belong to another edition of this title.
Search results for Theory of Finite Simple Groups (New Mathematical Monographs,...
Stock Image
Theory of Finite Simple Groups
Published by
Cambridge University Press, 2006
ISBN 10: 0521866251
ISBN 13: 9780521866255
Used
Hardcover
Seller: BookHolders, Towson, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: 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. Seller Inventory # 6587371
Seller Image
Theory of Finite Simple Groups. With DVD-ROM. (= Reihe: New Mathematical Monographs, Volume 8). Erstausgabe.
Published by
Cambridge University Press, Cambridge, New York, Melbourne, Madrid, Cape Town, Singapore, Sao Paulo, 2006
ISBN 10: 0521866251
ISBN 13: 9780521866255
Used
Hardcover
First Edition
Seller: Versandantiquariat Abendstunde, Ludwigshafen am Rhein, Germany
Seller rating 5 out of 5 stars
Hardcover/gebunden. Condition: 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). Seller Inventory # BN33118