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Finite Geometry and Character Theory / by Alexander Pott
(Lecture Notes in Mathematics. ISSN:16179692 ; 1601)

1st ed. 1995.
出版者 Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
出版年 1995
本文言語 英語
大きさ VIII, 188 p : online resource
冊子体 Finite geometry and character theory / Alexander Pott. ; 1601
著者標目 *Pott, Alexander author
SpringerLink (Online service)
件 名 LCSH:Algebra
LCSH:Geometry
LCSH:Number theory
LCSH:Discrete mathematics
LCSH:Group theory
LCSH:Coding theory
LCSH:Information theory
FREE:Algebra
FREE:Geometry
FREE:Number Theory
FREE:Discrete Mathematics
FREE:Group Theory and Generalizations
FREE:Coding and Information Theory
一般注記 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
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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Springer eBooks 9783540491828
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データ種別 電子ブック
分 類 LCC:QA150-272
DC23:512
書誌ID 4000109567
ISBN 9783540491828

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