Frobenius theorem

There are several mathematical theorems named after Ferdinand Georg Frobenius. They include:

• Frobenius theorem in differential geometry and topology for integrable subbundles;
• Frobenius theorem in abstract algebra characterizing the finite-dimensional real division algebras;
• Frobenius reciprocity theorem in group representation theory describing the reciprocity relation between restricted and induced representations on a subgroup;
• Perron–Frobenius theorem in matrix theory concerning the eigenvalues and eigenvectors of a matrix with positive real coefficients.

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