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On group theory 5

Posted: Tue Nov 10, 2015 12:51 pm
by Papapetros Vaggelis
Consider the circle group \(\displaystyle{\left(S^{1},\cdot\right)}\) .

Find the set \(\displaystyle{H=\left\{\left(x,y\right)\in S^{1}: o((x,y))<\infty\right\}}\) .

Re: On group theory 5

Posted: Sun Jun 26, 2016 5:52 pm
by Grigorios Kostakos
Papapetros Vaggelis wrote:Consider the circle group \(\displaystyle{\left(S^{1},\cdot\right)}\) .

Find the set \(\displaystyle{H=\left\{\left(x,y\right)\in S^{1}: o((x,y))<\infty\right\}}\) .
Vaggelis, how do you define the order $\circ((x,y))$ of $(x,y)$ ? Which is the "multiplication" in the group?