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 Post subject: On group theory 5Posted: Tue Nov 10, 2015 12:51 pm
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Joined: Mon Nov 09, 2015 1:52 pm
Posts: 426
Consider the circle group $\displaystyle{\left(S^{1},\cdot\right)}$ .

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

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 Post subject: Re: On group theory 5Posted: Sun Jun 26, 2016 5:52 pm
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Joined: Mon Nov 09, 2015 1:36 am
Posts: 460
Location: Ioannina, Greece
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?

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Grigorios Kostakos

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