Reinhold Baer
| Reinhold Baer | |
|---|---|
 | |
| Born |
July 22, 1902 Berlin, Germany |
| Died |
October 22, 1979 (aged 77) Zurich, Switzerland |
| Nationality |
 German |
| Fields | Mathematics |
| Institutions |
University of Illinois at Urbana-Champaign Goethe University Frankfurt |
| Alma mater | University of Göttingen |
| Doctoral advisor | Hellmuth Kneser |
| Doctoral students |
Bernd Fischer Hermann Heineken Heinrich Lüneburg Gerhard Michler Wolfgang Kappe Grace Bates |
Reinhold Baer (July 22, 1902 – October 22, 1979) was a German mathematician, known for his work in algebra. He introduced injective modules in 1940. He is the eponym of Baer rings and Baer groups.
Baer studied mechanical engineering for a year at the University of Hanover. He then went to study philosophy at Freiburg in 1921. While he was at Göttingen in 1922 he was influenced by Emmy Noether and Hellmuth Kneser. In 1924 he won a scholarship for specially gifted students. Baer wrote up his doctoral dissertation and it was published in Crelle's Journal in 1927.
Baer accepted a post at Halle in 1928. There, he published Ernst Steinitz's "Algebraische Theorie der Körper" with Helmut Hasse, first published in Crelle's Journal in 1910.[1]
While Baer was with his wife in Austria, Adolf Hitler and the Nazis came into power. Baer was later informed that his services at Halle were no longer required. Louis Mordell invited him to go to Manchester and Baer accepted.
Baer stayed at Princeton University and was a visiting scholar at the nearby Institute for Advanced Study from 1935 to 1937.[2] For a short while he lived in North Carolina. From 1938 to 1956 he worked at the University of Illinois at Urbana-Champaign. He returned to Germany in 1956.
Bibliography
- Erweiterung von Gruppen und ihren Isomorphismen, Mathematische Zeitschrift. 38 (1934), no. 1, p. 375–416 (German). MR 1545456
- Nilpotent groups and their generalizations, Trans. Amer. Math. Soc. 47 (1940), p. 393–434. MR 0002121 (2,1i)
- The higher commutator subgroups of a group, Bull. Amer. Math. Soc. 50 (1944), p. 143–160. MR 0009954 (5,227g)
- Representations of groups as quotient groups. II. Minimal central chains of a group, Trans. Amer. Math. Soc. 58 (1945), p. 348–389. MR 0015107 (7,372a)
- Representations of groups as quotient groups. III. Invariants of classes of related representations, Trans. Amer. Math. Soc. 58 (1945), p. 390–419. MR 0015108 (7,372b)
See also
- Baer–Suzuki theorem
- The Mathematical Legacy of Reinhold Baer: A Collection of Articles in Honor of the Centenary of the Birth of Reinhold Baer, Dept. of Mathematics, University of Illinois at Urbana-Champaign, 2004, ISBN 0974698601
References
External links
- Erweiterung von Gruppen und ihren Isomorphismen, PDF file
- Reinhold Baer at the Mathematics Genealogy Project
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