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AuthorHuppert, Bertram. author
TitleFinite Groups III [electronic resource] / by Bertram Huppert, Norman Blackburn
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1982
Connect tohttp://dx.doi.org/10.1007/978-3-642-67997-1
Descript X, 456 p. online resource

CONTENT

X. Local Finite Group Theory -- ยง 1. Elementary Lemmas -- ยง 2. Groups of Order Divisible by at Most Two Primes -- ยง 3. The J-Subgroup -- ยง 4. Conjugate p-Subgroups -- ยง 5. Characteristic p-Functors -- ยง 6. Transfer Theorems -- ยง 7. Maximal p-Factor Groups -- ยง 8. Glaubermanโ{128}{153}s K-Subgroups -- ยง 9. Further Properties of J, ZJ and K -- ยง10. The Product Theorem for J -- ยง11. Fixed Point Free Automorphism Groups -- ยง12. Local Methods and Cohomology -- ยง13. The Generalized Fitting Subgroup -- ยง14. The Generalized p?-Core -- ยง15. Applications of the Generalized Fitting Subgroup -- ยง16. Signalizer Functors and a Transitivity Theorem -- Notes on Chapter X -- XI. Zassenhaus Groups -- ยง 1. Elementary Theory of Zassenhaus Groups -- ยง 2. Sharply Triply Transitive Permutation Groups -- ยง 3. The Suzuki Groups -- ยง 4. Exceptional Characters -- ยง 5. Characters of Zassenhaus Groups -- ยง 6. Feitโ{128}{153}s Theorem -- ยง 7. Non-Regular Normal Subgroups of Multiply Transitive Permutation Groups -- ยง 8. Real Characters -- ยง 9. Zassenhaus Groups of Even Degree -- ยง10. Zassenhaus Groups of Odd Degree and a Characterization of PGL(2, 2f) -- ยง11. The Characterization of the Suzuki Groups -- ยง12. Order Formulae -- ยง13. Survey of Ree Groups -- Notes on Chapter XI -- XII. Multiply Transitive Permutation Groups -- ยง 1. The Mathieu Groups -- ยง 2. Transitive Extensions of Groups of Suzuki Type -- ยง 3. Sharply Multiply Transitive Permutation Groups -- ยง 4. On the Existence of 6- and 7-Fold Transitive Permutation Groups -- ยง 5. A Characterization of M11 and PSL(3, 3) -- ยง 6. Multiply Homogeneous Groups -- ยง 7. Doubly Transitive Soluble Permutation Groups -- ยง 8. A Characterization of SL(2, 5) -- ยง 9. Sharply Doubly Transitive Permutation Groups -- ยง10. Permutation Groups of Prime Degree -- Notes on Chapter XII -- Index of Names


Mathematics Group theory Mathematics Group Theory and Generalizations



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