Theory of Finite Simple Groups Ii: Commentary on the Classification Problems by

Description: Theory of Finite Simple Groups Ii by Gerhard Michler 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. FORMAT Hardcover LANGUAGE English CONDITION Brand New Publisher 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 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. Brauers warning that there may be infinitely many. Some of these problems require new experiments with the authors algorithm. Author Biography Gerhard Michler is an Emeritus Professor of the Institute of Experimental Mathematics at the University of Duisburg-Essen and Adjunct Professor at Cornell University. Table of Contents Acknowledgements; Introduction; 1. Simple groups and indecomposable subgroups of GLn(2); 2. Dickson group G2(3) and related simple groups; 3. Conways simple group Co3; 4. Conways simple group Co2; 5. Fischers simple group Fi22; 6. Fischers simple group Fi23; 7. Conways simple group Co1; 8. Janko group J4; 9. Fischers simple group Fi24; 10. Tits group 2F4(2); 11. McLaughlin group McL; 12. Rudvalis group Ru; 13. Lyons group Ly; 14. Suzuki group Suz; 15. The ONan group ON; 16. Concluding remarks and open problems; Appendix: Table of contents of attached DVD; References; Index. Promotional "Headline" A coherent explanation of the existence of the 26 known sporadic simple groups. Description for Bookstore 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. Description for Library 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. Details ISBN0521764912 Author Gerhard Michler Publisher Cambridge University Press Series New Mathematical Monographs ISBN-10 0521764912 ISBN-13 9780521764919 Format Hardcover Language English Media Book Series Number 14 Imprint Cambridge University Press Subtitle Commentary on the Classification Problems Place of Publication Cambridge Country of Publication United Kingdom DEWEY 512.23 Pages 746 Year 2010 Publication Date 2010-02-04 Short Title THEORY OF FINITE SIMPLE GROUPS Affiliation Cornell University, New York Illustrations 140 Tables, unspecified Audience Professional and Scholarly UK Release Date 2010-02-04 AU Release Date 2010-02-04 NZ Release Date 2010-02-04 We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:146312735;

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