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:
“No rules exist, and examples are simply life-savers answering the appeals of rules making vain attempts to exist.”
—André Breton (18961966)
“It is hardly to be believed how spiritual reflections when mixed with a little physics can hold peoples 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 (16881744)