In group theory, the quaternion group is a non-abelian group of order eight, isomorphic to a certain eight-element subset of the quaternions under multiplication. It is often denoted by Q or Q8, and is given by the group presentation
where 1 is the identity element and −1 commutes with the other elements of the group.
Read more about Quaternion Group: Cayley Graph, Cayley Table, Properties, Matrix Representations, Galois Group, Generalized Quaternion Group
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