This classic in the field of abstract algebra has been called "the first systematic treatment of finite fields in the mathematical literature." Divided into two sections-"Introduction to the Galois Field Theory" and "Theory of Linear Groups in a Galois Field"-and crammed with examples and theorems, Linear Groups remains relevant more than a century after its publication. Learn about:

. definition and properties of finite fields
. classification and determination of irreducible quantics
. miscellaneous properties of Galois Fields
. analytic representation of substitutions on the marks of a Galois Field
. the Abelian linear group
. the hyperabelian group
. the hyperorthogonal and related linear groups
. and much more.

This historic contribution to the theory of groups is still appreciated by mathematicians today.


American mathematician LEONARD EUGENE DICKSON (1874-1954) received the University of Chicago's first doctorate in mathematics, and later taught there for 39 years. His published works include Linear Algebras (1914), History of the Theory of Numbers (1919-23), and Studies in the Theory of Numbers (1930).