George Abram Miller
George Abram Miller ( born July 31, 1863 in Lynnville, Pennsylvania, † February 10, 1951 in Urbana ( Illinois)) was an American mathematician who mainly dealt with the group theory.
Life and work
Miller came from a family of farmers. He studied from 1882 at the Franklin Academy and then at the Muehl Mountain College in Allentown (Pennsylvania ), where he in 1887 and 1890 Bachelor Master's degree earned. He had to finance themselves, since his family was too poor, what his studies delayed the study as a teacher. He led schools in Greeley, Kansas and was 1887/88 mathematics teacher at Eureka College in Illinois. Then he visited during the summer months in 1889 and 1980, the Johns Hopkins University and the University of Michigan. In 1892 he received his doctorate at Cumberland University in Lebanon (Tennessee ) ( what was possible with correspondence courses and a subsequent test) and was then instructor at the University of Michigan, where he became interested in the group theory with Frank Nelson Cole.
From 1895 to 1897 he was in Europe at Sophus Lie in Leipzig and Camille Jordan in Paris. After his return in 1897 he became a professor at Cornell University. In 1901 he became a professor at Stanford University and in 1906 at the University of Illinois at Urbana -Champaign, where he remained until his retirement.
In group theory, he dealt among other things with the classification of finite groups under various constraints, such as the order of the group or the number of generators. He also dealt with the history of mathematics.
In 1891 he became a member of the New York Mathematical Society, from the American Mathematical Society emerged, whose section in San Francisco, he co-founded in 1902. He was a member of the DMV, the London Mathematical Society and honorary member of the Indian Mathematical Society. In 1919 he became a member of the American Academy of Arts and Sciences and in 1921 the National Academy of Sciences. 1909 to 1915 he gave the American Mathematical Monthly out. 1921/22, he was president of the Mathematical Association of America.
He was married since 1909. The marriage remained childless, and he bequeathed his considerable, acquired from skilful investment assets, ( $ 1 million ) of the University of Illinois.
Writings
- Collected Works, 5 volumes, University of Illinois 1935
- Determinants, Van Nostrand 1892
- Historical introduction to mathematical literature, New York, Macmillan 1916
- Hans Blichfeldt, Leonard Dickson Theory and application of finite groups, New York, Wiley 1916, Dover reprint 1961