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" Finite Groups III "
by Bertram Huppert, Norman Blackburn.
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BL
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| Record Number
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752668
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b572627
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| Main Entry
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by Bertram Huppert, Norman Blackburn.
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| Title & Author
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Finite Groups III\ by Bertram Huppert, Norman Blackburn.
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| Publication Statement
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Berlin, Heidelberg : Springer Berlin Heidelberg, 1982
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| Series Statement
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Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, 243.
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(X, 456 p.).
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| ISBN
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3642679978
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: 9783642679971
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| Notes
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Bibliographic Level Mode of Issuance: Monograph.
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| Contents
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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.
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| Subject
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Group Theory and Generalizations.
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Group theory.
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Bertram Huppert
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Norman Blackburn
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