Preface |
Preliminary results / 1: |
Elementary group theory |
Categories / 2: |
Graphs and geometries / 3: |
Abstract representations / 4: |
Permutation representations |
Sylow's Theorem / 5: |
Representations of groups on groups |
Normal series / 7: |
Characteristic subgroups and commutators / 8: |
Solvable and Nilpotent groups / 9: |
Semidirect products / 10: |
Central products and wreath products / 11: |
Linear representations |
Modules over the group ring / 12: |
The general linear group and special linear group / 13: |
The dual representation / 14: |
Permutation groups |
The symmetric and alternating groups / 15: |
Rank 3 permutation groups / 16: |
Extensions of groups and modules |
1-cohomology / 17: |
Coprime action / 18: |
Spaces with forms |
Bilinear, sesquilinear, and quadratic forms / 19: |
Witt's Lemma / 20: |
Spaces over finite fields / 21: |
The classical groups / 22: |
p-groups |
Extremal p-groups / 23: |
Coprime action on p-groups / 24: |
Change of field of a linear representation |
Tensor products / 25: |
Representations over finite fields / 26: |
Minimal polynomials / 27: |
Presentations of groups |
Free groups / 28: |
Coxeter groups / 29: |
Root systems / 30: |
The generalized Fitting subgroup |
Thompson factorization / 31: |
Central extensions / 33: |
Linear representations of finite groups |
Characters in coprime characteristic / 34: |
Characters in characteristic zero / 35: |
Some special actions / 36: |
Transfer and fusion |
Transfer / 37: |
Alperin's Fusion Theorem / 38: |
Normal p-complements / 39: |
Semiregular action / 40: |
The geometry of groups of Lie type |
Complexes / 41: |
Buildings / 42: |
BN-pairs and Tits systems / 43: |
Signalizer functors |
Solvable signalizer functors / 44: |
Finite simple groups |
Involutions in finite groups / 45: |
Connected groups / 46: |
The finite simple groups / 47: |
An outline of the Classification Theorem / 48: |
References |
List of Symbols |
Index |