A difference set construction of Turyn adapted to semi-direct products

Kapitel in diesem Buch

1. Frontmatter I
2. Preface V
3. PART I GROUPS AND GEOMETRY
4. On flag-transitive c.c*-geometries 3
5. On the 1-cohomology of the groups SL4(2n), SU4(2n), and Spίn7(2n) 23
6. About a conjecture of Guralnick and Thompson 43
7. On the Suzuki groups and the outer automorphisms of S6 55
8. Note on Lie algebras, finite groups and finite geometries 73
9. m-systems and the BLT property 83
10. A block complex collapsing to the Brauer tree 93
11. Some sporadic geometries 99
12. The uniqueness case 117
13. PART II DIFFERENCE SETS
14. Exponent bounds for a family of abelian difference sets 129
15. A survey of Hadamard difference sets 145
16. Difference sets in nilpotent groups with large Frattini quotient: geometric methods and (375, 34, 3) 157
17. A difference set construction of Turyn adapted to semi-direct products 169
18. Difference sets in groups of order 4p4 175
19. A survey on relative difference sets 195
20. Williamson matrices and difference sets 233
21. Note on Paley type partial difference sets 239
22. PART ΙII THE MONSTER
23. Anti-bracket formalism with the Kahler geometry 247
24. Singular values of Thompson series 255
25. Understanding groups like Γ0(N) 327
26. The ̣√Monster construction 345
27. On vertex operator algebras as sl2-modules 349
28. Lattices and generalized Hecke operators 363
29. Codes, loops and p-locals 369
30. A generalization of Kac-Moody algebras 377
31. A note on the elliptic curves of Harada-Lang 409
32. Ternary codes and ℤ3-orbifold constructions of conformal field theories 411
33. Non-monstrous moonshine 433
34. Monstrous Moonshine and orbifolds 443