Commutator Subgroup - Examples

Examples

  • The commutator subgroup of the alternating group A4 is the Klein four group.
  • The commutator subgroup of the symmetric group Sn is the alternating group An.
  • The commutator subgroup of the quaternion group Q = {1, −1, i, −i, j, −j, k, −k} is ={1, −1}.

Read more about this topic:  Commutator Subgroup

Famous quotes containing the word examples:

    “It is hardly to be believed how spiritual reflections when mixed with a little physics can hold people’s attention and give them a livelier idea of God than do the often ill-applied examples of his wrath.”
    —G.C. (Georg Christoph)

    “Histories are more full of examples of the fidelity of dogs than of friends.”
    —Alexander Pope (1688–1744)

    “There are many examples of women that have excelled in learning, and even in war, but this is no reason we should bring ‘em all up to Latin and Greek or else military discipline, instead of needle-work and housewifry.”
    —Bernard Mandeville (1670–1733)