Sporadic Groups

Klappentext The first self-contained treatment of the foundations of the theory of sporadic groups. 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. 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.

Product details

• Authors: Michael Aschbacher, Michael (California Institute of Techn Aschbacher
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 01.03.2008
• EAN: 9780521056861
• ISBN: 978-0-521-05686-1
• No. of pages: 332
• Series: Cambridge Tracts in Mathematic
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Probability theory, stochastic theory, mathematical statistics