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โœฆ   LIBER   โœฆ

๐Ÿ“

Finite Geometry and Character Theory

โœ 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

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โœฆ Subjects


Combinatorics; Geometry; Group Theory and Generalizations; Coding and Information Theory


๐Ÿ“œ SIMILAR VOLUMES


Finite Geometry and Character Theory
โœ Alexander Pott (auth.) ๐Ÿ“‚ Library ๐Ÿ“… 1995 ๐Ÿ› Springer-Verlag Berlin Heidelberg ๐ŸŒ English

<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

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<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

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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