George Abram Miller

George A. Miller
Born (1863-07-31)July 31, 1863
Lynnville, Lehigh County, Pennsylvania
Died February 10, 1951(1951-02-10) (aged 87)
Urbana, Illinois
Nationality American
Alma mater Cumberland University
Scientific career
Fields Mathematics
Institutions University of Illinois
Doctoral advisor Frank Nelson Cole
Doctoral students Henry Louis Rietz

George Abram Miller (31 July 1863 – 10 February 1951) was an early group theorist[1][2]. Much of his work consisted of classifying groups satisfying some condition, such as having a small number of prime divisors or small order or having a small permutation representation; although such results were considered important by his contemporaries they have mostly been rendered obsolete by modern computer algebra systems. He was president of the Mathematical Association of America 1921–1922[3] and was an Invited Speaker of the ICM in 1924 in Toronto.[4] Miller's Collected Works were edited by Henry Roy Brahana and published by University of Illinois Press, the first two volumes appearing in 1935 and 1939.[5] The final three volumes were published in 1946, 1955, and 1959. His doctoral students include H. L. Rietz.

Publications

References

  1. ↑ G. A. Miller. On the multiple holomorphs of a group. Mathematische Annalen 1908, Volume 66, Issue 1, pp 133-142
  2. ↑ G. A. Miller. Abstract definitions of all the substitution groups whose degrees do not exceed seven. American Journal of Mathematics, 1911.
  3. ↑ MAA presidents: George Abram Miller
  4. ↑ 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.
  5. ↑ J.S. Frame (1940) Review of Collected Works of George Abram Miller in Mathematical Reviews
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