There exists a group G of order 8 having the following
presentation: G=〈i,j,k | ij=k, jk=I, ki=j, i^2 =j^2 =k^2〉. Denotei2
bym. Showthat every element of G can be written in the form e, i,
j, k, m, mi, mj, mk, and hence that these are precisely the
distinct elements of G. Furthermore, write out the multiplication
table for G (really, this should be going on while you do the first
part of the problem).