Quaternion Group

Definition: The Quaternion Group is one of the two non-Abelian groups of the five total finite groups of order 8. It is formed by the quaternions$\pm 1$ ,$\pm i$ , $\pm j$, and $\pm k$, denoted $\bbmath{Q}_8$or$\bbmath{H}$ .

$\bbmath{Q}_8=\{1, -1, i, -i, j, -j, k, -k\}$

Subgroups: The subgroups of Quaternion Group are:

$\{1\}$, $\{1,-1\}$, $\{1,-1,i,-i\}$, $\{1,-1, j, -j\}$,$\{1,-1,k ,-k\}$,$\{1,-1,i,-i,j,-j,k,-k\}$

page revision: 67, last edited: 06 Nov 2010 00:43