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In page Finitely generated abelian group:
"The fundamental theorem for finite abelian groups was proven by Leopold Kronecker in 1870,[citation needed] using a group-theoretic proof,[2] though without stating it in group-theoretic terms;[3] a modern presentation of Kronecker's proof is given in (Stillwell 2012) harv error: no target: CITEREFStillwell2012 (help), 5.2.2 Kronecker's Theorem, 176–177. This generalized an earlier result of Carl Friedrich Gauss from Disquisitiones Arithmeticae (1801), which classified quadratic forms; Kronecker cited this result of Gauss's. The theorem was stated and proved in the language of groups by Ferdinand Georg Frobenius and Ludwig Stickelberger in 1878.[4][5] Another group-theoretic formulation was given by Kronecker's student Eugen Netto in 1882.[6][7]
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