Contents

pp v-vii

Authors' Addresses

pp viii-x

Introduction

pp xi-xiv

Part 1 - Sporadic groups

1 - Uniqueness of sporadic groups

pp 1-11

2 - The study of J4 via the theory of uniqueness systems

pp 12-21

3 - Y555 and all that

pp 22-23

4 - Hyperbolic reflections for the Bimonster and 3Fi24

pp 24-45

5 - A geometric characterization of the Monster

pp 46-62

6 - Constructing the Monster

pp 63-76

Part 2 - Moonshine

7 - The signature of the normalizes of Γ0 (N)

pp 77-86

8 - Completely replicahle functions

pp 87-98

9 - Introduction to the Monster Lie algebra

pp 99-107

10 - Remarks on Moonshine and Orbifolds

pp 108-120

Part 3 - Local and geometric methods in group theory

11 - The classification of 3-transposition groups with trivial center

pp 121-138

12 - (S3,S6,)-Amalgams

pp 139-143

13 - Pushing down minimal parabolic systems

pp 144-150

14 - Nonspherical spheres

pp 151-158

15 - On the 2-local structure of finite groups

pp 159-182

16 - Groups generated by k-root subgroups – a survey

pp 183-204

Part 4 - Geometries and related groups

17 - Finiteness questions for geometries

pp 205-217

18 - Kac-Moody groups and, their automorphisms

pp 218-228

19 - Generalized hexagons as geometric hyperplanes of near hexagons

pp 229-239

20 - On simplicial complexes related to the Suzuki sequence graphs

pp 240-248

21 - Twin buildings and groups of Kac-Moody type

pp 249-286

Part 5 - Finite and algebraic groups of Lie type