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Finite groups / 3.

Author: Bertram Huppert
Publisher: Berlin ; Heidelberg [u.a.] : Springer, 1982.
Series: Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen, 243.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
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Document Type: Book
All Authors / Contributors: Bertram Huppert
ISBN: 0387106332 9780387106335 3540106332 9783540106333
OCLC Number: 310486042
Notes: Text engl.
Description: VIII, 454 S.
Contents: 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.
Series Title: Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen, 243.
Responsibility: B. Huppert; N. Blackburn.
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