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20D99 - Group theory and generalizations :: Abstract finite groups :: Miscellaneous

  1. calculus of subgroup orders owned by Algeboy
  2. Cauchy's theorem owned by Evandar
  3. estimation of index of intersection subgroup owned by pahio
  4. example of a non-fully invariant subgroup owned by Algeboy
  5. example of fully invariant subgroup owned by juanman
  6. fully invariant subgroup owned by mclase
  7. Lagrange's theorem owned by Evandar
  8. proof of Cauchy's theorem owned by yark
  9. proof of Cauchy's theorem in abelian case owned by kshum
  10. proof of Lagrange's theorem owned by akrowne
  11. proof of the converse of Lagrange's theorem for finite cyclic groups owned by Wkbj79
  12. proof that \operatorname{exp}~G divides | G | owned by Wkbj79
  13. proof that |g| divides \operatorname{exp}~G owned by Wkbj79
  14. proof that every group of prime order is cyclic owned by Wkbj79
  15. subgroups with coprime orders owned by pahio

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