Completely replicable functions play an important role in number theory and finite group theory, in particular the Monstrous Moonshine. In this paper, we give a characterization of completely replicable functions by certain symmetries.

中文翻译：

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完全可复制的函数和对称性

完全可复制的函数在数论和有限群论中扮演着重要的角色，尤其是 Monstrous Moonshine。在本文中，我们通过某些对称性给出了完全可复制的函数的表征。