Beschreibung

Zusammenfassung 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.

Autorentext

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

A coherent explanation of the existence of the 26 known sporadic simple groups.

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.

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