Quaternion group
Non-abelian group of order eight
Quaternion group
In group theory, the quaternion group Q8 (sometimes just denoted by Q) is a non-abelian group of order eight, isomorphic to the eight-element subset { 1 , i , j , k , − 1 , − i , − j , − k } {\displaystyle \{1,i,j,k,-1,-i,-j,-k\}} of the quaternions under multiplication. It is given by the group presentation Q 8 = ⟨ e ¯ , i , j , k ∣ e ¯ 2 = e...
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