Prove that U(p^k) is cyclic
p^k is an odd prime power.
I've been working on this problem for a while and can't figure it out. The professor's hint is "to think about the solutions to x2 =1." (pk - 1)2 mod pk = 1 but I'm unsure how that is helpful.
I know that that 2 generates every set by...
I am only an undergrad, so if someone more knowledgeable than me wants to illuminate us (or just me if I'm incorrect), I appreciate it.
My QM book discusses wave packets a little in the first few chapters. In QM, the particles you study are actually waves (not just point particles). Wave...