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20A05 - Group theory and generalizations :: Foundations :: Axiomatics and elementary properties

  1. C_{mn}\cong C_m\times C_n when m, n are relatively prime owned by yesitis
  2. a characterization of groups owned by yark
  3. a group of even order contains an element of order 2 owned by azdbacks4234
  4. a subgroup of index 2 is normal owned by alozano
  5. alternative definition of group owned by pahio
  6. center of a group owned by yark
  7. characteristic subgroup owned by yark
  8. class function owned by djao
  9. conjugacy class owned by djao
  10. conjugate stabilizer subgroups owned by Thomas Heye
  11. core of a subgroup owned by yark
  12. coset owned by djao
  13. cyclic group owned by yark
  14. derived subgroup owned by yark
  15. division in group owned by pahio
  16. double coset owned by yark
  17. equivariant owned by bwebste
  18. Euler-Fermat theorem owned by Wkbj79
  19. example of straight-line program owned by Algeboy
  20. examples of finite simple groups owned by mathcam
  21. examples of groups owned by AxelBoldt
  22. Feit-Thompson conjecture owned by PrimeFan
  23. Feit-Thompson theorem owned by mathcam
  24. finitely generated group owned by yark
  25. first isomorphism theorem owned by rspuzio
  26. fourth isomorphism theorem owned by bwebste
  27. fundamental homomorphism theorem owned by yark
  28. generating set of a group owned by yark
  29. generator owned by Wkbj79
  30. group owned by drini
  31. group actions and homomorphisms owned by CWoo
  32. group homomorphism owned by yark
  33. groups in field owned by pahio
  34. groups of small order owned by Daume
  35. groups with abelian inner automorphism group owned by rm50
  36. homogeneous group owned by whm22
  37. homogeneous space owned by rmilson
  38. ideal of elements with finite order owned by pahio
  39. identity element owned by mclase
  40. inner automorphism owned by rmilson
  41. inverse of a product owned by pahio
  42. inverse of inverse in a group owned by cvalente
  43. isomorphic groups owned by alozano
  44. isomorphism owned by djao
  45. kernel owned by rmilson
  46. method of repeated squaring owned by Algeboy
  47. more on division in groups owned by CWoo
  48. nonabelian group owned by drini
  49. normal closure owned by yark
  50. normal is not transitive owned by Wkbj79
  51. normal subgroup owned by djao
  52. normality of subgroups is not transitive owned by yark
  53. normality of subgroups of prime index owned by azdbacks4234
  54. normalizer owned by yark
  55. one-sided normality of subsemigroup owned by lars_h
  56. order (of a group) owned by mathcam
  57. order of elements in finite groups owned by rm50
  58. presentation of a group owned by rmilson
  59. proof of first isomorphism theorem owned by uriw
  60. proof of fourth isomorphism theorem owned by aoh45
  61. proof of second isomorphism theorem for groups owned by yark
  62. proof of third isomorphism theorem owned by Thomas Heye
  63. proof that all cyclic groups are abelian owned by Wkbj79
  64. proof that all cyclic groups of the same order are isomorphic to each other owned by Wkbj79
  65. proof that all subgroups of a cyclic group are cyclic owned by Wkbj79
  66. proof that group homomorphisms preserve identity owned by odenskrigare
  67. proof that group homomorphisms preserve inverse owned by odenskrigare
  68. Proof: The orbit of any element of a group is a subgroup owned by drini
  69. regular group action owned by mathcam
  70. second isomorphism theorem owned by djao
  71. solvable group owned by djao
  72. straight-line program owned by Algeboy
  73. subgroup owned by Daume
  74. the derived subgroup is normal owned by juanman
  75. the kernel of a group homomorphism is a normal subgroup owned by alozano
  76. third isomorphism theorem owned by yark
  77. types of homomorphisms owned by rspuzio
  78. uniqueness of inverse (for groups) owned by waj
  79. word owned by juanman

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