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Finite Groups III
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Catalogue Information
Field name
Details
Dewey Class
512.2
Title
Finite Groups III ([EBook] /) / by Bertram Huppert, Norman Blackburn.
Author
Huppert, Bertram
Added Personal Name
Blackburn, Norman
author.
Other name(s)
SpringerLink (Online service)
Publication
Berlin, Heidelberg : : Springer Berlin Heidelberg, , 1982.
Physical Details
X, 456 p. : online resource.
Series
Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics
0072-7830 ; ; 243
ISBN
9783642679971
Contents note
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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Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-3-642-67997-1
Links to Related Works
Subject References:
Group theory
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Group Theory and Generalizations
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Mathematics
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Authors:
Blackburn, Norman
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Huppert, Bertram
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Corporate Authors:
SpringerLink (Online service)
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Series:
Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics
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Classification:
512.2
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