George Abram Miller
|George A. Miller|
July 31, 1863|
Lynnville, Lehigh County, Pennsylvania
|Died||February 10, 1951
|Alma mater||Cumberland University|
|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 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. 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. The final three volumes were published in 1946, 1955, and 1959. His doctoral students include H. L. Rietz.
- 1892: An introduction to the study of Determinants, with examples and applications.
- 1905: Groups of subtraction and division.
- 1911: The Algebraic Equation
- 1916: (with H. F. Blichfeldt, & L. E. Dickson) Theory and Application of Finite Groups from University of Michigan Historical Math Collection, original publisher: John Wiley & Sons.
- 1916: Historical Introduction to Mathematical Literature from Cornell University Historical Math Monographs, original publisher Macmillan Publishers.
- G. B. Mathews (1917) Review: A Historical Introduction to the Mathematical Literature from Nature 98:387 (#2464)
- 1947: "An Eleventh Lesson in the History of Mathematics", Mathematics Magazine 21(1): 48-55.
- G. A. Miller. On the multiple holomorphs of a group. Mathematische Annalen 1908, Volume 66, Issue 1, pp 133-142
- G. A. Miller. Abstract definitions of all the substitution groups whose degrees do not exceed seven. American Journal of Mathematics, 1911.
- MAA presidents: George Abram Miller
- J.S. Frame (1940) Review of Collected Works of George Abram Miller in Mathematical Reviews
|Wikisource has original works written by or about:
George Abram Miller
- Henry Roy Brahana (1957) George Abram Miller — Biographical Memoirs of the National Academy of Sciences
- George A. Miller Papers 1895–1947, 1951 from University of Illinois Archives.
- O'Connor, J. J. and Robertson, E. F. George Abram Miller, in the MacTutor archive
- George Abram Miller at the Mathematics Genealogy Project