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Finite Geometry and Character Theory

Finite Geometry and Character Theory

Paperback

Series: Lecture Notes in Mathematics, Book 1601

General ComputersGeneral Mathematics

ISBN10: 354059065X
ISBN13: 9783540590651
Publisher: Springer
Published: Apr 6 1995
Pages: 188
Weight: 0.62
Height: 0.42 Width: 6.14 Depth: 9.21
Language: English
Difference sets are of central interest in finite geometry and design theory. One of the main techniques to investigate abelian difference sets is a discrete version of the classical Fourier transform (i.e., character theory) in connection with algebraic number theory. This approach is described using only basic knowledge of algebra and algebraic number theory. It contains not only most of our present knowledge about abelian difference sets, but also gives applications of character theory to projective planes with quasiregular collineation groups. Therefore, the book is of interest both to geometers and mathematicians working on difference sets. Moreover, the Fourier transform is important in more applied branches of discrete mathematics such as coding theory and shift register sequences.

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