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Theorems from Group Theory

This is a subset of the complete theorem list for the convenience of those who are looking for a particular result in group theory.

Numbers in brackets are those from the complete listing.

  1. The Orbit Counting Lemma (15)
  2. The First Isomorphism Theorem (34)
  3. The Second Isomorphism Theorem (35)
  4. Lagrange's Theorem (41)
  5. Netto's Conjecture (Dixon's Theorem) (49)
  6. A Theorem of Melody Chan on Group Actions (51)
  7. Bailey's Theorem on Latin Squares (53)
  8. Moufang's Theorem (61)
  9. Neumann's Separation Lemma (64)
  10. Sims' Conjecture (65)
  11. Gruenberg's Theorem on Nilpotent Groups (82)
  12. Cayley's Theorem (85)
  13. The Lagrange Property for Moufang Loops (114)
  14. Praeger's Theorem on Bounded Movement (135)
  15. The Robinson–Schensted–Knuth Correspondence (143)
  16. The McIver–Neumann 1/2-n Bound (159)
  17. The Cameron–Fon-Der-Flaass IBIS Theorem (174)
  18. A Theorem on Maximal Sum-free Sets in Groups (214)
  19. Cauchy's Theorem in Group Theory (227)
  20. The Pólya–Redfield Enumeration Theorem (242)
  21. The Third Isomorphism Theorem (253)
  22. Sylow's Theorem (258)