George Abram Miller
George A. Miller | |
|---|---|
Henry Louis Rietz |
George Abram Miller (31 July 1863 – 10 February 1951) was an early group theorist.
Biography
At the age of seventeen, Miller began school-teaching to raise funds for higher education. In 1882, he entered Franklin and Marshall Academy, and progressed to Muhlenberg College in 1884. He received his B.A. in 1887 and M.A. in 1890.
While a graduate student, Miller was Principal of schools in Greeley, Kansas and then professor of mathematics as Eureka College in Eureka, Illinois. He corresponded with Cumberland University in Lebanon, Tennessee for his Ph.D. in 1892.
He then joined
Miller helped in the enumeration of finite groups of degree 8, 9, and 10. Arthur Cayley had listed 198 groups of degree 8 in 1891, and Miller found two more making the total 200 in 1893. Camille Jordan had given a list for degree 9 in 1872, re-examined by Cole, and brought up to 258 groups by Miller. In 1894 Miller produced a list of 294 intransitive groups of degree 10. In consequence, the Academy of Science of Cracow awarded a prize and "Miller came to prominence in the mathematical world abruptly."[1]
Miller was president of the
Publications
- 1892: An introduction to the study of Determinants, with examples and applications.
- 1905: Groups of subtraction and division.
- 1908: "On the multiple holomorphs of a group", Mathematische Annalen 66(1): 133-142
- 1911: "Abstract definitions of all the substitution groups whose degrees do not exceed seven", American Journal of Mathematics
- 1911: The Algebraic Equation
- 1916: (with John Wiley & Sons.
- 1916: Historical Introduction to Mathematical Literature from Cornell University Historical Math Monographs, original publisher Macmillan Publishers.[5]
- 1947: "An Eleventh Lesson in the History of Mathematics", Mathematics Magazine 21(1): 48-55.
References
- ^ a b Henry Roy Brahana (1957) George Abram Miller — Biographical Memoirs of the National Academy of Sciences
- ^ MAA presidents: George Abram Miller
- ^ Miller, G. A. "History of several fundamental mathematical concepts". In: Proceedings of the International Congress of Mathematicians in Toronto, August 11–16. 1924. Vol. 2. pp. 959–968.
- ^ J.S. Frame (1940) Review of Collected Works of George Abram Miller in Mathematical Reviews
- G. B. Mathews (1917) Review: A Historical Introduction to the Mathematical Literature from Nature98:387 (#2464)
External links
- George A. Miller Papers 1895–1947, 1951 from University of Illinois Archives.
- O'Connor, John J.; Robertson, Edmund F., "George Abram Miller", MacTutor History of Mathematics Archive, University of St Andrews
- George Abram Miller at the Mathematics Genealogy Project
| International | |
|---|---|
| National | |
| Academics | |
| People | |
| Other | |
