<p>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
Finite Geometry and Character Theory
โ Scribed by Alexander Pott (auth.)
- Publisher
- Springer-Verlag Berlin Heidelberg
- Year
- 1995
- Tongue
- English
- Leaves
- 188
- Series
- Lecture Notes in Mathematics 1601
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Subjects
Combinatorics; Geometry; Group Theory and Generalizations; Coding and Information Theory
๐ SIMILAR VOLUMES
<p>This monograph contributes to the existence theory of difference sets, cyclic irreducible codes and similar objects. The new method of field descent for cyclotomic integers of presribed absolute value is developed. Applications include the first substantial progress towards the Circulant Hadamard
Excellent text approaches characters via rings (or algebras). In addition to techniques for applying characters to "pure" group theory, much of the book focuses on properties of the characters themselves and how these properties reflect and are reflected in the structure of the group. Problems follo