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Math and science::Algebra::Aluffi

Groups. Lagrange's theorem.

Lagrange's theorem

Let G be a group, and let H⊂G be a subgroup. Then:

[|G|=?]

There are three corollaries on the reverse. Can you remember them?

  1. About the order of g in G.
  2. When |G| is a prime.
  3. Fermat's little theorem.