Author	Pott, Alexander. author
Title	Finite Geometry and Character Theory [electronic resource] / by Alexander Pott
Imprint	Berlin, Heidelberg : Springer Berlin Heidelberg, 1995
Connect to	http://dx.doi.org/10.1007/BFb0094449
Descript	VIII, 188 p. online resource

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

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

1. Mathematics
2. Coding theory
3. Algebra
4. Group theory
5. Geometry
6. Number theory
7. Combinatorics
8. Mathematics
9. Algebra
10. Geometry
11. Number Theory
12. Combinatorics
13. Group Theory and Generalizations
14. Coding and Information Theory