Groups, Difference Sets, and the Monster :Proceedings of a Special Research Quarter at The Ohio State University, Spring 1993 ( Ohio State University Mathematical Research Institute Publications )

Publication subTitle :Proceedings of a Special Research Quarter at The Ohio State University, Spring 1993

Publication series :Ohio State University Mathematical Research Institute Publications

Author: K.T. Arasu   J.F. Dillon   K. Harada   S. Sehgal   R. Solomon  

Publisher: De Gruyter‎

Publication year: 1996

E-ISBN: 9783110893106

P-ISBN(Paperback): 9783110147919

Subject:

Language: ENG

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Chapter

Preface

pp.:  1 – 5

Part 1 Groups and Geometry

pp.:  5 – 15

On the Suzuki groups and the outer automorphisms of S6

pp.:  57 – 69

Note on Lie algebras, finite groups and finite geometries

pp.:  69 – 87

m-systems and the BLT property

pp.:  87 – 97

A block complex collapsing to the Brauer tree

pp.:  97 – 107

Some sporadic geometries

pp.:  107 – 113

The uniqueness case

pp.:  113 – 131

Part 2 Difference Sets

pp.:  131 – 141

Exponent bounds for a family of abelian difference sets

pp.:  141 – 143

A survey of Hadamard difference sets

pp.:  143 – 159

Difference sets in nilpotent groups with large Frattini quotient: geometric methods and (375, 34, 3)

pp.:  159 – 171

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

pp.:  171 – 183

Difference sets in groups of order 4p4

pp.:  183 – 189

A survey on relative difference sets

pp.:  189 – 209

Williamson matrices and difference sets

pp.:  209 – 247

Note on Paley type partial difference sets

pp.:  247 – 253

Part 3 The Monster

pp.:  253 – 259

Anti-bracket formalism with the Kähler geometry

pp.:  259 – 261

Singular values of Thompson series

pp.:  261 – 269

Understanding groups like Γ 0(N)

pp.:  269 – 341

The √ Monster construction

pp.:  341 – 359

On vertex operator algebras as SL2-modules

pp.:  359 – 363

Lattices and generalized Hecke operators

pp.:  363 – 377

Codes, loops and p-locals

pp.:  377 – 383

A generalization of Kac-Moody algebras

pp.:  383 – 391

A note on the elliptic curves of Harada-Lang

pp.:  391 – 423

Ternary codes and Z3 -orbifold constructions of conformai field theories

pp.:  423 – 425

Non-monstrous moonshine

pp.:  425 – 447

Monstrous Moonshine and orbifolds

pp.:  447 – 457

LastPages

pp.:  457 – 477

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