Inhalt

X. Local Finite Group Theory.- § 1. Elementary Lemmas.- § 2. Groups of Order Divisible by at Most Two Primes.- § 3. The J-Subgroup.- § 4. Conjugate p-Subgroups.- § 5. Characteristic p-Functors.- § 6. Transfer Theorems.- § 7. Maximal p-Factor Groups.- § 8. Glauberman's K-Subgroups.- § 9. Further Properties of J, ZJ and K.- §10. The Product Theorem for J.- §11. Fixed Point Free Automorphism Groups.- §12. Local Methods and Cohomology.- §13. The Generalized Fitting Subgroup.- §14. The Generalized p?-Core.- §15. Applications of the Generalized Fitting Subgroup.- §16. Signalizer Functors and a Transitivity Theorem.- Notes on Chapter X.- XI. Zassenhaus Groups.- § 1. Elementary Theory of Zassenhaus Groups.- § 2. Sharply Triply Transitive Permutation Groups.- § 3. The Suzuki Groups.- § 4. Exceptional Characters.- § 5. Characters of Zassenhaus Groups.- § 6. Feit's Theorem.- § 7. Non-Regular Normal Subgroups of Multiply Transitive Permutation Groups.- § 8. Real Characters.- § 9. Zassenhaus Groups of Even Degree.- §10. Zassenhaus Groups of Odd Degree and a Characterization of PGL(2, 2f).- §11. The Characterization of the Suzuki Groups.- §12. Order Formulae.- §13. Survey of Ree Groups.- Notes on Chapter XI.- XII. Multiply Transitive Permutation Groups.- § 1. The Mathieu Groups.- § 2. Transitive Extensions of Groups of Suzuki Type.- § 3. Sharply Multiply Transitive Permutation Groups.- § 4. On the Existence of 6- and 7-Fold Transitive Permutation Groups.- § 5. A Characterization of M11 and PSL(3, 3).- § 6. Multiply Homogeneous Groups.- § 7. Doubly Transitive Soluble Permutation Groups.- § 8. A Characterization of SL(2, 5).- § 9. Sharply Doubly Transitive Permutation Groups.- §10. Permutation Groups of Prime Degree.- Notes on Chapter XII.- Index of Names.