Mathematician:Richard Dagobert Brauer
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Mathematician
German / American mathematician who worked mainly in abstract algebra.
Made important contributions to number theory.
Founder of modular representation theory.
Nationality
German
History
- Born: 10 February 1901 in Berlin-Charlottenburg, Germany
- Died: 17 April 1977 in Belmont, Massachusetts, USA
Theorems and Definitions
- Brauer Algebra
- Brauer Character
- Brauer Correspondent
- Brauer Elementary Subgroup
- Brauer Group
- Brauer Homomorphism
- Brauer-Manin Obstruction (with Yuri Ivanovitch Manin)
- Brauer-Wall Group (with Charles Terence Clegg Wall)
- Brauer's First Main Theorem
- Brauer's Second Main Theorem
- Brauer's Third Main Theorem
- Brauer's Theorem on Induced Characters
- Brauer-Cartan-Hua Theorem (with Élie Joseph Cartan and Hua Luogeng)
- Brauer-Fowler Theorem (with K.A. Fowler)
- Brauer-Nesbitt Theorem (with Cecil James Nesbitt)
- Brauer-Siegel Theorem (with Carl Ludwig Siegel)
- Brauer-Suzuki Theorem (with Michio Suzuki)
- Brauer-Suzuki-Wall Theorem (with Michio Suzuki and Gordon Elliott Wall)
Publications
- 1932: Beweis eines Hauptsatzes in der Theorie der Algebren (Proof of a Main Theorem in the Theory of Algebras) (with Helmut Hasse and Emmy Noether)
- 1944: On the arithmetic in a group ring (Proc. Natl. Acad. Sci. U.S.A. Vol. 30: pp. 109 – 114) www.jstor.org/stable/87919
- 1946: On blocks of characters of groups of finite order I (Proc. Natl. Acad. Sci. U.S.A. Vol. 32: pp. 182 – 186) www.jstor.org/stable/87578
- 1946: On blocks of characters of groups of finite order. II (Proc. Natl. Acad. Sci. U.S.A. Vol. 32: pp. 215 – 219) www.jstor.org/stable/87838
- 1947: On Artin's L-series with general group characters
- 1955: On groups of even order (Ann. Math. Ser. 2 Vol. 62: pp. 565 – 583) (with K.A. Fowler) (in which Brauer-Fowler Theorem is presented) www.jstor.org/stable/1970080
- 1956: Zur Darstellungstheorie der Gruppen endlicher Ordnung (Mathematische Zeitschrift Vol. 63: pp. 406 – 444)
- 1958: A characterization of the one-dimensional unimodular projective groups over finite fields (Illinois J. Math. Vol. 2: pp. 718 – 745) (with Michio Suzuki and G.E. Wall)
- 1959: On finite groups of even order whose 2-Sylow group is a quaternion group (Proc. Natl. Acad. Sci. U.S.A. Vol. 45: pp. 1757 – 1759) (with Michio Suzuki) www.jstor.org/stable/90063
- 1959: Zur Darstellungstheorie der Gruppen endlicher Ordnung. II (Mathematische Zeitschrift Vol. 72: pp. 25 – 46)
- 1964: Some applications of the theory of blocks of characters of finite groups. I (Journal of Algebra Vol. 1: pp. 152 – 167)
- 1970: On the first main theorem on blocks of characters of finite groups. (Illinois J. Math. Vol. 14: pp. 83 – 187)