2011-29.md

course	course_year	question_number	tags	title	year
Groups, Rings and Modules	IB	29	IB 2011 Groups, Rings and Modules	Paper 2, Section I, F	2011

Show that the quaternion group $Q_{8}={\pm 1, \pm i, \pm j, \pm k}$, with $i j=k=-j i$, $i^{2}=j^{2}=k^{2}=-1$, is not isomorphic to the symmetry group $D_{8}$ of the square.