[Verse 1] Every finite group breaks down to pieces Like integers that factor into primes Simple groups are building blocks of symmetry No normal subgroups left to find Eighteen infinite families march in order Cyclic primes and alternating crews Groups of Lie type fill the classification But twenty-six exceptions break the rules [Chorus] Eighteen families, twenty-six rebels The periodic table of all finite symmetry Monster group with eight times ten to fifty-three Greatest proof that mathematics ever conceived Tens of thousands of pages to believe Classification complete, the atlas is done [Verse 2] Character theory mapped the local structure Centralizers revealed their hidden plans Geometric techniques pierced through the mystery Exhaustive cases, decades in our hands Not one argument but a grand program Show each simple group must fit the list Known families or sporadic individuals None can hide, none can be missed [Chorus] Eighteen families, twenty-six rebels The periodic table of all finite symmetry Monster group with eight times ten to fifty-three Greatest proof that mathematics ever conceived Tens of thousands of pages to believe Classification complete, the atlas is done [Bridge] Why do these exceptions even exist? Monster connects to modular forms Monstrous Moonshine lights the way To vertex algebras and string theory storms Sometimes the theorem is the complete list Not a formula, but every name The atlas approach reveals the landscape Every symmetry mapped and claimed [Chorus] Eighteen families, twenty-six rebels The periodic table of all finite symmetry Monster group with eight times ten to fifty-three Greatest proof that mathematics ever conceived Tens of thousands of pages to believe Classification complete, the atlas is done [Outro] Fundamental blocks of finite symmetry Twenty-first century knows them all From cyclic groups to the Monster's mystery The classification stands ten stories tall
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