George Abram Miller

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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] whose many papers and texts were considered important by his contemporaries, but are now mostly considered only of historical importance. 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. Some of his published results were wrong: in 1898 he claimed incorrectly that the Mathieu group M24 did not exist, and in 1930 he published a list of groups of order 64 with many errors in it. He was president of the Mathematical Association of America 1921–1922.[3] 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.[4] The final three volumes were published in 1946, 1955, and 1959. His doctoral students include H. L. Rietz.



  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. ^ J.S. Frame (1940) Review of Collected Works of George Abram Miller in Mathematical Reviews

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