Group Theory, Algebra, and Number Theory
eBook - PDF

Group Theory, Algebra, and Number Theory

  1. 221 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Group Theory, Algebra, and Number Theory

Book details
Table of contents
Citations

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Yes, you can access Group Theory, Algebra, and Number Theory by Horst G. Zimmer, Horst G. Zimmer in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.

Information

Publisher
De Gruyter
Year
2011
ISBN
9783110811957
Edition
1
Topic
Mathematics
Subtopic
Mathematics General
Index
Mathematics

Table of contents

  1. Introductory address
  2. After-dinner speech
  3. On the solvability of the kernel of any orthogonal decomposition
  4. 1. Introduction
  5. 2. Lie algebras of types Bn,Cn, and Dn
  6. 3. Exceptional Lie algebras
  7. 4. Lie algebras of type An
  8. References
  9. The beginnings of modular Lie algebra theory
  10. 1. Introduction
  11. 2. Zassenhaus algebra
  12. 3. Lie algebras of Cartan type
  13. 4. Derivations
  14. 5. Sandwiches, filiations, ‘classicality’ criterion
  15. 6. Linear representations and Cartan prolongations
  16. 7. Lie algebras over fields of small characteristic
  17. 7.1. Characteristic p = 5
  18. 7.2. Characteristic p = 3
  19. 7.3. Characteristic p = 2
  20. 8. Miscellaneous
  21. References
  22. Computing invariants of algebraic number fields
  23. 1. Introduction
  24. 2. Galois groups
  25. 2.1. (B) Approximation of Γ from below
  26. 2.2. (A) Approximation of Γ from above and verification
  27. 3. Integral basis
  28. 3.1. Round 2-method
  29. 3.2. Round 4-method
  30. 4. Unit group and class group
  31. 4.1. Method I (assuming GRH)
  32. 4.2. Method II (unconditional)
  33. 5. Examples and applications
  34. References
  35. Kristallographische Gruppen
  36. 1. Einleitung
  37. 2. Die Periode bis 1950 aus heutiger Sicht
  38. 3. Die vierdimensionalen Raumgruppen
  39. 4. SpÀtere Entwicklungen
  40. 5. Beispiele von Bravaismannigfaltigkeiten
  41. Literatur
  42. Endliche Fastkörper und Zassenhausgruppen
  43. 1. Einleitung
  44. 2. Zur KommutativitÀt endlicher Divisionsringe
  45. 3. Gruppen mit Partition
  46. 4. Mehr ĂŒber fixpunktfreie Operation
  47. 5. Gruppen mit pq-Bedingung
  48. 6. Ausnahmecharaktere und der SL2(5)-Satz von Zassenhaus
  49. 7. Das Isomorphieproblem
  50. 8. Die 2-dimensionalen linearen Gruppen und der SL2(5)-Satz von Dickson
  51. 9. VollstÀndige Fastkörper
  52. 10. Zassenhausgruppen
  53. Literatur
  54. On the arithmetic of commutative group rings
  55. 1. Introduction
  56. 2. Constructible units
  57. 3. Cyclic p-groups
  58. 4. Functors on cyclotomic algebras
  59. 4.1. Admissible functors
  60. 4.2. Cyclogenic functors
  61. 5. Local units and logarithms
  62. 5.1. Polarized bases
  63. 5.2. ogarithms and applications
  64. 6. Regular primes
  65. 6.1. Arithmetical background
  66. 6.2. Abelian p-groups
  67. 7. Irregular primes
  68. 7.1. A converse
  69. 7.2. Non-constructible units
  70. 8. Local units and global ideal classes
  71. 8.1. Normal bases for local units
  72. 8.2. Comparison with global units
  73. 8.3. Kernel groups
  74. 9. Cyclic groups of composite order
  75. 9.1. An exact sequence
  76. 9.2. Even order
  77. 9.3. Odd order
  78. References