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
Famous quotes containing the word group:
“Belonging to a group can provide the child with a variety of resources that an individual friendship often cannot—a sense of collective participation, experience with organizational roles, and group support in the enterprise of growing up. Groups also pose for the child some of the most acute problems of social life—of inclusion and exclusion, conformity and independence.”
—Zick Rubin (20th century)