On group theory 5

Groups, Rings, Domains, Modules, etc, Galois theory
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Papapetros Vaggelis
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On group theory 5

#1

Post by Papapetros Vaggelis »

Consider the circle group \(\displaystyle{\left(S^{1},\cdot\right)}\) .

Find the set \(\displaystyle{H=\left\{\left(x,y\right)\in S^{1}: o((x,y))<\infty\right\}}\) .
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Grigorios Kostakos
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Re: On group theory 5

#2

Post 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?
Grigorios Kostakos
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