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).
Linear Groups with an Exposition of Galois Field Theory
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$82.00
Description
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).
In the fall of 1990, I taught Math 581 at New Mexico State University for the first time. This course on field theory is the first semester of the year-long graduate algebra course here at NMSU. In...
This book gives a concise exposition of the theory of fields, including the Galois theory of field extensions, the Galois theory of etale algebras, and the theory of transcendental extensions. The...
This book is ideally suited for a two-term, undergraduate algebra course culminating in Galois theory. It gives an introduction to group theory and to ring theory en route. In addition, the chapter...
This book is devoted to the structure of the absolute Galois groups of certain algebraic extensions of the field of rational numbers. Its main result, a theorem proved by the authors and Florian Pop...
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