ENGLISH

Linear groups, with an exposition of the Galois field theory

By Leonard Eugene Dickson

Book information

Publisher
Dover Publications
Year
2003
ISBN
9780486495484, 0486495485
LCC
QA174.2 .D535 2003
Open Library ID
OL3687779M
Language
english
Format
DJVU
Filesize
14 MB (14363741 bytes)
Pages
326\326
Library
Kolxo3
DPI
600
Time added
2009-07-20 03:45:11

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).

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