if you could post the elements of the group, maybe i could help.. did you mean ? This is the dihedral group on 8 vertices.
Hi all
Got this question but dont know where to start - need to get this in by tonight:
The Group D8 (i.e. a regular Octagon with 8 sides) has 5 distinct sub-groups of order 4. What I need to do is find one cyclic sub group and one non-cyclic subgroup and also give their generators, or elements in standard form.
Any ideas?
Are the elements of the subgroup: {e, r, r^2, r^3, r^4, r^5, r^6, r^7, s, sr, sr^2, sr^3, sr^3, sr^4, sr^5, sr^6, sr^7}
Please please help on this one - ive posted group theory and geometry questions here before but had little luck in answers these past few weeks.
Cheers
Muncha