This book presents a new version of the local analysis section of the Feitâ Thompson theorem. It includes a recent (1991) significant improvement by Feit and Thompson and a short revision by T. Peterfalvi of the separate final section of the second half of the proof.
This book presents a new version of the local analysis section of the Feitâ Thompson theorem. It includes a recent (1991) significant improvement by Feit and Thompson and a short revision by T. Peterfalvi of the separate final section of the second half of the proof.
Part I. Preliminary Results: 1. Notation and elementary properties of solvable groups 2. General results on representations 3. Actions of Frobenius groups and related results 4. p-Groups of small rank 5. Narrow p-groups 6. Additional results Part II. The Uniqueness Theorem: 7. The transitivity theorem 8. The fitting subgroup of a maximal subgroup 9. The uniqueness theorem Part III. Maximal Subgroups: 10. The subgroups Ma and Me 11. Exceptional maximal subgroups 12. The subgroup E 13. Prime action Part IV. The Family of All Maximal Subgroups of G: 14. Maximal subgroups of type p and counting arguments 15. The subgroup Mf 16. The main results Appendix Prerequisites and p-stability.
Part I. Preliminary Results: 1. Notation and elementary properties of solvable groups 2. General results on representations 3. Actions of Frobenius groups and related results 4. p-Groups of small rank 5. Narrow p-groups 6. Additional results Part II. The Uniqueness Theorem: 7. The transitivity theorem 8. The fitting subgroup of a maximal subgroup 9. The uniqueness theorem Part III. Maximal Subgroups: 10. The subgroups Ma and Me 11. Exceptional maximal subgroups 12. The subgroup E 13. Prime action Part IV. The Family of All Maximal Subgroups of G: 14. Maximal subgroups of type p and counting arguments 15. The subgroup Mf 16. The main results Appendix Prerequisites and p-stability.
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