There are several mathematical theorems named after
Ferdinand Georg Frobenius
Ferdinand Georg Frobenius (26 October 1849 – 3 August 1917) was a German mathematician, best known for his contributions to the theory of elliptic functions, differential equations, number theory, and to group theory. He is known for the famous ...
. They include:
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Frobenius theorem (differential topology)
In mathematics, Frobenius' theorem gives necessary and sufficient conditions for finding a maximal set of independent solutions of an overdetermined system of first-order homogeneous linear partial differential equations. In modern geometric te ...
in differential geometry and topology for integrable subbundles
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Frobenius theorem (real division algebras) in abstract algebra characterizing the finite-dimensional real division algebras
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Frobenius reciprocity theorem in group representation theory describing the reciprocity relation between restricted and induced representations on a subgroup
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Perron–Frobenius theorem
In matrix theory, the Perron–Frobenius theorem, proved by and , asserts that a real square matrix with positive entries has a unique largest real eigenvalue and that the corresponding eigenvector can be chosen to have strictly positive component ...
in matrix theory concerning the eigenvalues and eigenvectors of a matrix with positive real coefficients
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Frobenius's theorem (group theory) about the number of solutions of ''x''
''n''=1 in a group
{{disambig
Mathematics disambiguation pages