Show that the cyclic group of order 8 has as homomorphic images the cyclic groups of order 2 and 4 as well as itself and the trivial group.
Answer given: Find suitable normal subgroups and find the quotients
Hello everyone, I am doing a beginners group theory course and I was quite confused by the question and answer given above. Maybe the question needs rewording? But I am unsure how to approach this question as I am unsure how to show a group has homomorphic images and I am cannot see what cyclic group theorems I need to solve this.
Thank you!