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Theorem: Order of Cyclic Group (Fermat's Little Theorem)

Let \((G,\ast)\) be a cyclic group with a finite group order i.e. \(|G|=n < \infty,\) the neutral element \(e\in G\) and let $a\in G.$ Then:

1. The order of the element $\operatorname{ord}(a)$ is a divisor of the group order $|G|.$
2. The order of the element $\operatorname{ord}(a)$ is a divisor of the group order $|G|.$

Table of Contents

Proofs: 1

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Proofs: 1

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References

Bibliography

1. Kramer Jürg, von Pippich, Anna-Maria: "Von den natürlichen Zahlen zu den Quaternionen", Springer-Spektrum, 2013