# A short introduction to Monstrous Moonshine

@article{Tatitscheff2019ASI, title={A short introduction to Monstrous Moonshine}, author={Valdo Tatitscheff}, journal={arXiv: Number Theory}, year={2019} }

This paper is an introduction to the Monstrous Moonshine correspondence aiming at an undergraduate level. We review first the classification of finite simple groups and some properties of the monster $\mathbb{M}$, and then the theory of classical modular functions and modular forms, in order to define Klein's $J$-invariant. Eventually we turn to the correspondence itself, the historical framework in which it appeared, the ideas that were developped in its proof, and its status nowadays.

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