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Finite groups II

Author: B Huppert; N Blackburn
Publisher: Berlin ; New York : Springer-Verlag, 1982.
Series: Grundlehren der mathematischen Wissenschaften, 242.
Edition/Format:   Print book : EnglishView all editions and formats
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Additional Physical Format: Online version:
Huppert, B. (Bertram), 1927-
Finite groups II.
Berlin ; New York : Springer-Verlag, 1982
(OCoLC)681278196
Document Type: Book
All Authors / Contributors: B Huppert; N Blackburn
ISBN: 0387106324 9780387106328 3540106324 9783540106326
OCLC Number: 10460672
Notes: Includes indexes.
First vol. published under title: Endliche Gruppen.
Description: xiii, 531 pages ; 24 cm.
Contents: VII. Elements of General Representation Theory.- 1. Extension of the Ground-Field.- 2. Splitting Fields.- 3. The Number of Irreducible Modular Representations.- 4. Induced Modules.- 5. The Number of Indecomposable KG-Modules.- 6. Indecomposable and Absolutely Indecomposable Modules.- 7. Relative Projective and Relative Injective Modules.- 8. The Dual Module.- 9. Representations of Normal Subgroups.- 10. One-Sided Decompositions of the Group-Ring.- 11. Frobenius Algebras and Symmetric Algebras.- 12. Two-Sided Decompositions of Algebras.- 13. Blocks of p-Constrained Groups.- 14. Kernels of Blocks.- 15. p-Chief Factors of p-Soluble Groups.- 16. Green's Indecomposability Theorem.- Notes on Chapter VII.- VIII. Linear Methods in Nilpotent Groups.- 1. Central Series with Elementary Abelian Factors.- 2. Jennings' Theorem.- 3. Transitive Linear Groups.- 4. Some Number-Theoretical Lemmas.- 5. Lemmas on 2-Groups.- 6. Commutators and Bilinear Mappings.- 7. Suzuki 2-Groups.- 8. Lie Algebras.- 9. The Lie Ring Method and an Application.- 10. Regular Automorphisms.- 11. The Lower Central Series of Free Groups.- 12. Remarks on the Burnside Problem.- 13. Automorphisms of p-Groups.- Notes on Chapter VIII.- IX. Linear Methods and Soluble Groups.- 1. Introduction.- 2. Hall and Higman's Theorem B.- 3. The Exceptional Case.- 4. Reduction Theorems for Burnside's Problem.- 5. Other Consequences of Theorem B.- 6. Fixed Point Free Automorphism Groups.- 7. p-Stability.- 8. Soluble Groups with One Class of Involutions.- Notes on Chapter IX.- Index of Names.
Series Title: Grundlehren der mathematischen Wissenschaften, 242.
Responsibility: B. Huppert, N. Blackburn.

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