Gerhard Michler (New York Cornell University)

Theory of Finite Simple Groups II

Commentary on the Classification Problems

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• New Mathematical Monographs
• Verlag: Cambridge University Press
• Seitenzahl: 746
• Erscheinungstermin: 22. März 2010
• Englisch
• Abmessung: 229mm x 155mm x 46mm
• Gewicht: 1202g
• ISBN-13: 9780521764919
• ISBN-10: 0521764912
• Artikelnr.: 28110602

Autorenporträt

Gerhard Michler is an Emeritus Professor of the Institute of Experimental Mathematics at the University of Duisburg-Essen and Adjunct Professor at Cornell University.

Inhaltsangabe

Acknowledgements
Introduction
1. Simple groups and indecomposable subgroups of GLn(2)
2. Dickson group G2(3) and related simple groups
3. Conway's simple group Co3
4. Conway's simple group Co2
5. Fischer's simple group Fi22
6. Fischer's simple group Fi23
7. Conway's simple group Co1
8. Janko group J4
9. Fischer's simple group Fi'24
10. Tits group 2F4(2)'
11. McLaughlin group McL
12. Rudvalis group Ru
13. Lyons group Ly
14. Suzuki group Suz
15. The O'Nan group ON
16. Concluding remarks and open problems
Appendix: Table of contents of attached DVD
References
Index.