
Finite Geometry and Character Theory
Alexander Pott(Author)
Springer (Publisher)
Published on 6. April 1995
Book
Paperback/Softback
VIII, 188 pages
978-3-540-59065-1 (ISBN)
Description
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.
More details
Series
Edition
1995 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
VIII, 188 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 11 mm
Weight
306 gr
ISBN-13
978-3-540-59065-1 (9783540590651)
DOI
10.1007/BFb0094449
Schweitzer Classification
Content
Preliminaries: Incidence structures with singer groups.- Examples: Existence and non-existence.- Difference sets with classical parameters.- Semiregular relative difference sets.- Projective planes with quasiregular collineation groups.- Codes and sequences.