Theorem: Classification of Finite Groups with the Order of a Prime Number

Let $(G,\ast)$ be a finite group with $|G|=p$ where $p$ is a prime number. Then $G$ is isomorphic to the additive subgroup of integers $(\mathbb Z_p,+).$

Proofs: 1


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References

Bibliography

  1. Modler, Florian; Kreh, Martin: "Tutorium Algebra", Springer Spektrum, 2013