Finite geometry and character theory /
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 usi...
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin ; New York :
Springer,
[1995]
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| Series: | Lecture notes in mathematics (Springer-Verlag) ;
1601. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (vi, 181 pages) : illustrations. |
| Format: | Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |
| Bibliography: | Includes bibliographical references (pages [169]-179) and index. |
| ISBN: | 9783540491828 (electronic bk.) 3540491821 (electronic bk.) |
| ISSN: | 0075-8434 ; |