user23793
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 Oct21 accepted Different ternary representations Oct19 comment Different ternary representations Oh, no I have not. I will look this up. Oct19 asked Different ternary representations Oct15 accepted Kernel of cononical ring homomorphism Oct15 comment Kernel of cononical ring homomorphism This helps clear things up. Thank you! Oct15 asked Kernel of cononical ring homomorphism Oct6 comment Showing $\mathbb{Z}[\frac{1+\sqrt{D}}{2}]$ is a subring Sorry, this isn't quite right what I meant was that I get $ax+ay\rho+bx\rho+by\rho^2=ax+by(\rho+\frac{D-1}{4})+(ay+bx)\rho$, which give $(ax+by(\frac{D-1}{4}))+(ay+bx+by)\rho$ Oct6 accepted Showing $\mathbb{Z}[\frac{1+\sqrt{D}}{2}]$ is a subring Oct6 comment Showing $\mathbb{Z}[\frac{1+\sqrt{D}}{2}]$ is a subring So, $(a+b\rho)(x+y\rho)=(ax+\frac{1}{4}by(\rho+\frac{D-1}{4})+(ay+bx)\rho^2$. Then since $D\equiv 1$ $\frac{D-1}{4}$ must be an integer. And so the $by$ goes with the $\rho$ (I for some reason assumed it was already there?). Thank you! Oct6 revised Showing $\mathbb{Z}[\frac{1+\sqrt{D}}{2}]$ is a subring added 45 characters in body Oct6 asked Showing $\mathbb{Z}[\frac{1+\sqrt{D}}{2}]$ is a subring Oct3 comment Center of finite group with 3 conjugacy classes has order 1 I'm sorry I was away from my computer. Thank you for the aid, It's helped me understand this a little bit more. Oct2 accepted Center of finite group with 3 conjugacy classes has order 1 Oct2 comment Center of finite group with 3 conjugacy classes has order 1 That's pretty clear, thank you. My last question though is why can we assume that $g=1+a+b$? Why can't the center have more elements than $1_G$ in it? Or am I not looking at this correctly? Oct2 comment Center of finite group with 3 conjugacy classes has order 1 My main question is why does the center have order 1. Oct2 comment Center of finite group with 3 conjugacy classes has order 1 I gave the full statement above. I'm not sure how else to explain the problem. Oct2 revised Center of finite group with 3 conjugacy classes has order 1 added 224 characters in body Oct2 comment Center of finite group with 3 conjugacy classes has order 1 I'm not sure what you mean. The line after this was left as an exercise and that's where I'm stuck. Oct2 asked Center of finite group with 3 conjugacy classes has order 1 Sep24 accepted Finite normal subgroup and subgroup test