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Biographical Memoirs Volume 63 (1994) / Chapter Skim
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4. Leonard Eugene Dickson
Pages 88-111

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From page 89...
... He spent the year ~ 896-l 897 in Leipzig and Paris, was instructor in mathematics at the University of California 1897-1899, associate professor at Texas 1899-1900, assistant professor at Chicago 1~900-1907, associate professor 1907-1910, and professor in 1910. He was appointed to the Eliakim Hastings Moore Distinguished Professorship in 1928, anct became professor emeritus in 1939.
From page 90...
... He served as editor of the Monthly 1902-190S, and the Transactions from 1911 to 1916, and he was president of the American Mathematical Socie ty from ~ 9 ~ 6-1918. He was electecl to membership in the National Academy of Sciences in 1913 and was a member of the American Philosophical Society, the American Acaclemy of Arts and Sciences, and the London Mathematical Society.
From page 91...
... Dickson generalized their results to linear groups over an arbitrary finite field. He obtained many new systems of simple groups, and he closet!
From page 92...
... , f541. This work led naturally to his study of algebraic invariants and his interest in finite fields to modular invariants.
From page 93...
... 930 he spent most of his energy on research in the arithmetic theory of quadratic forms, in particular on universal forms. Dickson's interest in additive number theory began in 1927 with t2291.
From page 94...
... 4. A quadratic Cremona transformation defined by a conic, Rend.
From page 95...
... 22. The group of linear homogeneous substitutions on mq variables which is defined by the invariant ~=2,.
From page 96...
... 38. Concerning the cyclic subgroups of the simple group G of all linear fractional substitutions of determinant unity in two non-homogeneous variables with coefficients in an arbitrary Galois field, Am.
From page 97...
... 45. Distribution of the ternary linear homogeneous substitutions in a Galois field into complete sets of conjugate substitutions, Am.
From page 98...
... 60. Canonicalform of a linear homogeneous transformation in an arbitrary realm of rationality, Am.
From page 99...
... 86. Determination of all groups of binary linear substitutions with integral coefficients taken module 3 and of determinant unity, Ann.
From page 100...
... 104. Determination of all the subgroups of the three highest powers of p in the group G of all m-ary linear homogeneous transformations module p, Quart.
From page 101...
... 118. The abstract form of the special linear homogeneous group in an arbitrary field, Quart.
From page 102...
... 140. Rational reduction of a pair of binary quadratic forms; their modular invariants, Am.
From page 103...
... 158. On the negative discrimnants for which there is a single class of positive binary quadratic forms, Bull.
From page 104...
... 180. Invariants, seminvariants, and covariants of the ternary and quaternary quadratic form modulo 2, Bull.
From page 105...
... 198. Homogeneous polynomials with a multiplication theorem, Comptes Rendus du Congres International des Mathematiciens, Strasbourg, 1920, Toulouse, H
From page 106...
... 206. Reducible cubic forms expressible rationally as determinants, Ann.
From page 107...
... 227. Quaternary quadratic forms representing all integers, Am.
From page 108...
... 239. A new theory of linear transformations and pairs of bilinear forms, In: Proceedings of the International Mathematical Congress held in Toronto, 1924.
From page 109...
... 270. Universal Waring theorems with cubic summands, Acta Arithmetica
From page 110...
... 275. The ideal Waring theorem for twelfth powers, Duke Math.


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