Groups, Difference Sets, and the Monster: Proceedings of a Special Research Quarter at The Ohio State University, Spring 1993K.T. Arasu, J.F. Dillon, K. Harada, S. Sehgal, R. Solomon Walter de Gruyter, 2011/06/24 - 474 ページ This series is devoted to the publication of monographs, lecture resp. seminar notes, and other materials arising from programs of the OSU Mathemaical Research Institute. This includes proceedings of conferences or workshops held at the Institute, and other mathematical writings. |
目次
| 3 | |
| 23 | |
About a conjecture of Guralnick and Thompson | 43 |
On the Suzuki groups and the outer automorphisms of S6 | 55 |
Note on Lie algebras finite groups and finite geometries | 73 |
msystems and the BLT property | 83 |
A block complex collapsing to the Brauer tree | 93 |
Some sporadic geometries | 99 |
Williamson matrices and difference sets | 233 |
Note on Paley type partial difference sets | 239 |
Part 3 The Monster | 245 |
Antibracket formalism with the Kähler geometry | 247 |
Singular values of Thompson series | 255 |
Understanding groups like Γ 0N | 327 |
The Monster construction | 345 |
On vertex operator algebras as SL2modules | 349 |
The uniqueness case | 117 |
Part 2 Difference Sets | 127 |
Exponent bounds for a family of abelian difference sets | 129 |
A survey of Hadamard difference sets | 145 |
geometric methods and 375 34 3 | 157 |
A difference set construction of Turyn adapted to semidirect products | 169 |
Difference sets in groups of order 4p4 | 175 |
A survey on relative difference sets | 195 |
Lattices and generalized Hecke operators | 363 |
Codes loops and plocals | 369 |
A generalization of KacMoody algebras | 377 |
A note on the elliptic curves of HaradaLang | 409 |
Ternary codes and Z3 orbifold constructions of conformai field theories | 411 |
Nonmonstrous moonshine | 433 |
Monstrous Moonshine and orbifolds | 443 |
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多く使われている語句
1)-difference set abelian group Arasu assume automorphism group class polynomials codes coefficients composition factors conformal field theory conjugate construction contains corresponding cosets cyclic define denote direct sum divisor element elementary abelian example exists exponent bound FG(n finite group fixed function g-module G₁ Galois genus zero geometry group G group of order group ring Hadamard difference sets Hauptmodul Hence integer invariant irreducible isomorphic Kac-Moody algebras lattice Lemma Let G Lie algebra Math matrices maximal Menon difference sets modular equation module Monster Monstrous Moonshine multiplier nonabelian normal subgroup orbifold permutation points Proof Proposition relative difference sets representation result satisfies self-dual sets with parameters simple groups simple modules subgroup of G subset subspace Suppose Sylow p-subgroup symplectic Tg(t Theorem theory To(N unique V₁ Verma module vertex operator algebra