Sporadic Groups

Inhaltsverzeichnis

Preface; 1. Preliminary results; 2. 2-Structure in finite groups; 3. Algebras, codes and forms; 4. Symplectic 2-loops; 5. The discovery, existence, and uniqueness of the sporadics; 6. The Mathieu groups, their Steiner systems, and the Golay code; 7. The geometry and structure of M24; 8. The Conway groups and the Leech lattice; 9. Subgroups of .0; 10. The Griess algebra and the Monster; 11. Subgroups of groups of Monster type; 12. Coverings of graphs and simplicial complexes; 13. The geometry of amalgams; 14. The uniqueness of groups of type M24, He, and L5(2); 15. The groups U4(3); 16. Groups of Conway, Suzuki, and Hall-Janko type; 17. Subgroups of prime order in five sporadic groups; Tables; References; Index.

Zusammenfassung

Sporadic Groups provides for the first time a self-contained treatment of the foundations of the theory of sporadic groups accessible to mathematicians with a basic background in finite groups such as in the author's text Finite Group Theory.

Produktdetails

• Autoren: Michael Aschbacher
• Mitarbeit: Bela Bollobas (Herausgeber), W. Fulton (Herausgeber)
• Verlag: Cambridge University Press
• Sprache: Englisch
• Produktform: Fester Einband
• Erschienen: 11.01.2006
• EAN: 9780521420495
• ISBN: 978-0-521-42049-5
• Seiten: 332
• Abmessung: 157 mm x 235 mm x 24 mm
• Gewicht: 691 g
• Serie: Cambridge Tracts in Mathematic
• Thema: Naturwissenschaften, Medizin, Informatik, Technik > Mathematik > Wahrscheinlichkeitstheorie, Stochastik, Mathematische Statistik