Author | Huppert, Bertram. author |
---|---|
Title | Finite Groups II [electronic resource] / by Bertram Huppert, Norman Blackburn |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1982 |
Connect to | http://dx.doi.org/10.1007/978-3-642-67994-0 |
Descript | XIV, 534 p. online resource |
VII. Elements of General Representation Theory -- ยง 1. Extension of the Ground-Field -- ยง 2. Splitting Fields -- ยง 3. The Number of Irreducible Modular Representations -- ยง 4. Induced Modules -- ยง 5. The Number of Indecomposable KG-Modules -- ยง 6. Indecomposable and Absolutely Indecomposable Modules -- ยง 7. Relative Projective and Relative Injective Modules -- ยง 8. The Dual Module -- ยง 9. Representations of Normal Subgroups -- ยง10. One-Sided Decompositions of the Group-Ring -- ยง11. Frobenius Algebras and Symmetric Algebras -- ยง12. Two-Sided Decompositions of Algebras -- ยง13. Blocks of p-Constrained Groups -- ยง14. Kernels of Blocks -- ยง15. p-Chief Factors of p-Soluble Groups -- ยง16. Greenโs Indecomposability Theorem -- Notes on Chapter VII -- VIII. Linear Methods in Nilpotent Groups -- ยง 1. Central Series with Elementary Abelian Factors -- ยง 2. Jenningsโ Theorem -- ยง 3. Transitive Linear Groups -- ยง 4. Some Number-Theoretical Lemmas -- ยง 5. Lemmas on 2-Groups -- ยง 6. Commutators and Bilinear Mappings -- ยง 7. Suzuki 2-Groups -- ยง 8. Lie Algebras -- ยง 9. The Lie Ring Method and an Application -- ยง10. Regular Automorphisms -- ยง11. The Lower Central Series of Free Groups -- ยง12. Remarks on the Burnside Problem -- ยง13. Automorphisms of p-Groups -- Notes on Chapter VIII -- IX. Linear Methods and Soluble Groups -- ยง1. Introduction -- ยง2. Hall and Higmanโs Theorem B -- ยง3. The Exceptional Case -- ยง4. Reduction Theorems for Burnsideโs Problem -- ยง5. Other Consequences of Theorem B -- ยง6. Fixed Point Free Automorphism Groups -- ยง7. p-Stability -- ยง8. Soluble Groups with One Class of Involutions -- Notes on Chapter IX -- Index of Names