Recent content by harbong

I'm preparing a seminar for my math degree, and I'd really like to cover a topic that includes my fascination with geometry, music, and some physics. I stumbled upon one of those 'wooden books' coffee table books that covered an interesting device called a harmonograph. It covered exactly what I...

can anyone help me with my abstract algebra assignment? Let a be an fixed element of some multiplicative group G. Define the map β: Z > G from the additive inter group Z to G by β(n)=a^n. i. Prove that the map β is a homomorphism. ii. Prove/Disprove that the map β is an isomorphism. thanks!