Character Theory of Finite Groups
eBook - PDF

Character Theory of Finite Groups

  1. 624 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Character Theory of Finite Groups

About this book

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Yes, you can access Character Theory of Finite Groups by Bertram Huppert in PDF and/or ePUB format, as well as other popular books in Mathematics & Algebra. We have over one million books available in our catalogue for you to explore.

Information

Publisher
De Gruyter
Year
2011
Print ISBN
9783110154214
eBook ISBN
9783110809237
Edition
1
Topic
Mathematics
Subtopic
Algebra
Index
Mathematics

Table of contents

  1. Introduction
  2. Examples of groups
  3. Notations and results from group theory
  4. § 1 Representations and representation modules
  5. § 2 Simple and semisimple modules
  6. § 3 Orthogonality relations
  7. § 4 The group algebra
  8. § 5 Characters of abelian groups
  9. § 6 Degrees of irreducible representations
  10. § 7 Characters of some small groups
  11. § 8 Products of representations and characters
  12. § 9 On the number of solutions of gm = 1 in a group
  13. § 10 A theorem of A. Hurwitz on multiplicative sums of squares
  14. § 11 Permutation representations and characters
  15. § 12 The class number
  16. § 13 Real characters and real representations
  17. § 14 Coprime action
  18. § 15 Groups of order paqb
  19. § 16 Frobenius groups
  20. § 17 Induced characters
  21. § 18 Brauer’s permutation lemma and Glauberman’s character correspondence
  22. § 19 Clifford Theory 1
  23. § 20 Projective representations
  24. § 21 Clifford Theory 2
  25. § 22 Extensions of characters
  26. § 23 Degree pattern and group structure
  27. § 24 Monomial groups
  28. § 25 Representations of wreath products
  29. § 26 Characters of p-groups
  30. § 27 Groups with a small number of character degrees
  31. § 28 Linear groups
  32. § 29 Finite subgroups of SO(3, ℝ) and SU(2, ℂ)
  33. § 30 The degree graph
  34. § 31 Groups all of whose character degrees are primes
  35. § 32 Two special degree problems
  36. § 33 Lengths of conjugacy classes
  37. § 34 R. Brauer’s theorems on the character ring
  38. § 35 Applications of Brauer’s theorems
  39. § 36 Artin’s induction theorem
  40. § 37 Splitting fields
  41. § 38 The Schur index
  42. § 39 Integral representations
  43. § 40 Isaacs π-special characters
  44. § 41 Three arithmetical applications
  45. § 42 Small kernels and faithful irreducible characters
  46. § 43 TI-sets
  47. § 44 Involutions
  48. § 45 Groups whose Sylow-2-subgroups are generalized quaternion groups
  49. § 46 Perfect Frobenius complements
  50. Books
  51. Bibliography
  52. Index of names
  53. Index of subjects