Mathematician:Ferdinand Georg Frobenius
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German mathematician best known for his work on differential equations and group theory.
Gave the first full proof of the Cayley-Hamilton Theorem.
- Born: 26 Oct 1849 in Berlin-Charlottenburg, Prussia (now Germany)
- Died: 3 Aug 1917 in Berlin, Germany
Theorems and Definitions
- Frobenius-Schur Indicator (with Issai Schur) (otherwise known as Schur Indicator)
- Frobenius-Stickelberger Formulas (with Ludwig Stickelberger)
- Ruelle-Perron-Frobenius Operator (with David Pierre Ruelle and Oskar Perron) (also known as the Ruelle operator)
- Rouché-Frobenius Theorem (with Eugène Rouché) (although Frobenius merely discussed the result; priority actually goes to Georges Fontené): also known as:
- Rouché-Fontené Theorem (after Eugène Rouché and Georges Fontené) as it is known in France
- Rouché-Capelli Theorem (after Eugène Rouché and Alfredo Capelli) as it is known in Italy
- Kronecker-Capelli Theorem (after Leopold Kronecker and Alfredo Capelli) as it is known in Russia
Results named for Ferdinand Georg Frobenius can be found here.
Definitions of concepts named for Ferdinand Georg Frobenius can be found here.
- 1878: Über lineare Substitutionen und bilineare Formen (J. reine angew. Math. Vol. 84: pp. 1 – 63)
- 1897: Über die Darstellung der endlichen Gruppen durch lineare Substitutionen (Sitzungsber., Preuss. Akad. Wiss. Vol. 1897: pp. 994 – 1015)
Also known as
Some sources report his name as Georg Ferdinand Frobenius.
- John J. O'Connor and Edmund F. Robertson: "Ferdinand Georg Frobenius": MacTutor History of Mathematics archive
- 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): Frobenius, Ferdinand Georg (1849-1917)
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): Frobenius's theorem
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Frobenius's theorem