Classification of finite minimal simple groups

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Statement

Here is a list of all the finite minimal simple groups (up to isomorphism):

  1. The projective special linear group PSL(2,2^p), where p is a prime number.
  2. The projective special linear group PSL(2,3^p), where p is an odd prime.
  3. The projective special linear group PSL(2,p), where p > 3 is a prime such that 5 | p^2 + 1.
  4. The Suzuki group Sz(2^p) = {}^2B_2(2^p), where p is an odd prime.
  5. The projective special linear group PSL(3,3).

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References

Journal references