Frobenius theorem
# 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 $x^n=1$ in a group
