Frobenius theorem

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

• Frobenius theorem (differential topology) in differential geometry and topology for integrable subbundles
• Frobenius theorem (real division algebras) 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
• Frobenius's theorem (group theory) about the number of solutions of xⁿ=1 in a group