Mathematician:Ferdinand Georg Frobenius
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:
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): Entry: Frobenius, Ferdinand Georg (1849-1917)
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): Entry: Frobenius's theorem
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Entry: Frobenius's theorem