Mathematician:Ferdinand Georg Frobenius

Mathematician
German mathematician best known for his work on differential equations and group theory.

Gave the first full proof of the Cayley-Hamilton Theorem.

Nationality
German

History

 * Born: 26 Oct 1849 in Berlin-Charlottenburg, Prussia (now Germany)
 * Died: 3 Aug 1917 in Berlin, Germany

Theorems and Definitions

 * Frobenius's Theorem


 * Frobenius Endomorphism
 * Frobenius Group
 * Frobenius Number


 * Frobenius-Schur Indicator (with ) (otherwise known as Schur Indicator)
 * Frobenius-Stickelberger Formulas (with )


 * Ruelle-Perron-Frobenius Operator (with and ) (also known as the Ruelle operator)


 * Frobenius Coin Problem
 * Frobenius-Stickelberger Theorem (with )


 * Cauchy-Frobenius Lemma (with )


 * Rouché-Frobenius Theorem (with ) (although merely discussed the result; priority actually goes to ): also known as:
 * Rouché-Fontené Theorem (after and ) as it is known in France
 * Rouché-Capelli Theorem (after and ) as it is known in Italy
 * Kronecker-Capelli Theorem (after and ) as it is known in Russia


 * Ruelle-Perron-Frobenius Theorem (with and )

Publications




Also known as
Some sources report his name as Georg Ferdinand Frobenius.