Finite Geometry And Character Theory PDF Download
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Author | : Alexander Pott |
Publisher | : Springer |
Total Pages | : 185 |
Release | : 2006-11-14 |
Genre | : Mathematics |
ISBN | : 3540491821 |
Download Finite Geometry and Character Theory Book in PDF, ePub and Kindle
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.
Author | : Alexander Pott |
Publisher | : |
Total Pages | : 228 |
Release | : 1993 |
Genre | : |
ISBN | : |
Download Applications of character theory to problems in finite geometry Book in PDF, ePub and Kindle
Author | : Mark L. Lewis |
Publisher | : American Mathematical Soc. |
Total Pages | : 194 |
Release | : 2010-09-17 |
Genre | : Mathematics |
ISBN | : 0821848275 |
Download Character Theory of Finite Groups Book in PDF, ePub and Kindle
This volume contains a collection of papers from the Conference on Character Theory of Finite Groups, held at the Universitat de Valencia, Spain, on June 3-5, 2009, in honor of I. Martin Isaacs. The topics include permutation groups, character theory, p-groups, and group rings. The research articles feature new results on large normal abelian subgroups of p-groups, construction of certain wreath products, computing idempotents in group algebras of finite groups, and using dual pairs to study representations of cross characteristic in classical groups. The expository articles present results on vertex subgroups, measuring theorems in permutation groups, the development of super character theory, and open problems in character theory.
Author | : Meinolf Geck |
Publisher | : Cambridge University Press |
Total Pages | : 406 |
Release | : 2020-02-27 |
Genre | : Mathematics |
ISBN | : 1108808905 |
Download The Character Theory of Finite Groups of Lie Type Book in PDF, ePub and Kindle
Through the fundamental work of Deligne and Lusztig in the 1970s, further developed mainly by Lusztig, the character theory of reductive groups over finite fields has grown into a rich and vast area of mathematics. It incorporates tools and methods from algebraic geometry, topology, combinatorics and computer algebra, and has since evolved substantially. With this book, the authors meet the need for a contemporary treatment, complementing in core areas the well-established books of Carter and Digne–Michel. Focusing on applications in finite group theory, the authors gather previously scattered results and allow the reader to get to grips with the large body of literature available on the subject, covering topics such as regular embeddings, the Jordan decomposition of characters, d-Harish–Chandra theory and Lusztig induction for unipotent characters. Requiring only a modest background in algebraic geometry, this useful reference is suitable for beginning graduate students as well as researchers.
Author | : Bernhard Schmidt |
Publisher | : Springer |
Total Pages | : 112 |
Release | : 2004-10-13 |
Genre | : Mathematics |
ISBN | : 3540457976 |
Download Characters and Cyclotomic Fields in Finite Geometry Book in PDF, ePub and Kindle
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 Matrix Conjecture and Ryser`s conjecture since decades. It is shown that there is no Barker sequence of length l with 13
Author | : Pascale Charpin |
Publisher | : Walter de Gruyter |
Total Pages | : 288 |
Release | : 2013-05-28 |
Genre | : Mathematics |
ISBN | : 3110283603 |
Download Finite Fields and Their Applications Book in PDF, ePub and Kindle
This book is based on the invited talks of the "RICAM-Workshop on Finite Fields and Their Applications: Character Sums and Polynomials" held at the Federal Institute for Adult Education (BIfEB) in Strobl, Austria, from September 2-7, 2012. Finite fields play important roles in many application areas such as coding theory, cryptography, Monte Carlo and quasi-Monte Carlo methods, pseudorandom number generation, quantum computing, and wireless communication. In this book we will focus on sequences, character sums, and polynomials over finite fields in view of the above mentioned application areas: Chapters 1 and 2 deal with sequences mainly constructed via characters and analyzed using bounds on character sums. Chapters 3, 5, and 6 deal with polynomials over finite fields. Chapters 4 and 9 consider problems related to coding theory studied via finite geometry and additive combinatorics, respectively. Chapter 7 deals with quasirandom points in view of applications to numerical integration using quasi-Monte Carlo methods and simulation. Chapter 8 studies aspects of iterations of rational functions from which pseudorandom numbers for Monte Carlo methods can be derived. The goal of this book is giving an overview of several recent research directions as well as stimulating research in sequences and polynomials under the unified framework of character theory.
Author | : Irving Martin Isaacs |
Publisher | : |
Total Pages | : 303 |
Release | : 1976 |
Genre | : Characters of groups |
ISBN | : 9780123745507 |
Download Character Theory of Finite Groups Book in PDF, ePub and Kindle
Author | : Aart Blokhuis |
Publisher | : Springer Science & Business Media |
Total Pages | : 366 |
Release | : 2013-12-01 |
Genre | : Computers |
ISBN | : 1461302838 |
Download Finite Geometries Book in PDF, ePub and Kindle
When? These are the proceedings of Finite Geometries, the Fourth Isle of Thorns Conference, which took place from Sunday 16 to Friday 21 July, 2000. It was organised by the editors of this volume. The Third Conference in 1990 was published as Advances in Finite Geometries and Designs by Oxford University Press and the Second Conference in 1980 was published as Finite Geometries and Designs by Cambridge University Press. The main speakers were A. R. Calderbank, P. J. Cameron, C. E. Praeger, B. Schmidt, H. Van Maldeghem. There were 64 participants and 42 contributions, all listed at the end of the volume. Conference web site http://www. maths. susx. ac. uk/Staff/JWPH/ Why? This collection of 21 articles describes the latest research and current state of the art in the following inter-linked areas: • combinatorial structures in finite projective and affine spaces, also known as Galois geometries, in which combinatorial objects such as blocking sets, spreads and partial spreads, ovoids, arcs and caps, as well as curves and hypersurfaces, are all of interest; • geometric and algebraic coding theory; • finite groups and incidence geometries, as in polar spaces, gener alized polygons and diagram geometries; • algebraic and geometric design theory, in particular designs which have interesting symmetric properties and difference sets, which play an important role, because of their close connections to both Galois geometry and coding theory.
Author | : Johnson |
Publisher | : CRC Press |
Total Pages | : 476 |
Release | : 1983-01-18 |
Genre | : Mathematics |
ISBN | : 9780824710521 |
Download Finite Geometries Book in PDF, ePub and Kindle
Author | : Benjamin Steinberg |
Publisher | : Springer Science & Business Media |
Total Pages | : 166 |
Release | : 2011-10-23 |
Genre | : Mathematics |
ISBN | : 1461407761 |
Download Representation Theory of Finite Groups Book in PDF, ePub and Kindle
This book is intended to present group representation theory at a level accessible to mature undergraduate students and beginning graduate students. This is achieved by mainly keeping the required background to the level of undergraduate linear algebra, group theory and very basic ring theory. Module theory and Wedderburn theory, as well as tensor products, are deliberately avoided. Instead, we take an approach based on discrete Fourier Analysis. Applications to the spectral theory of graphs are given to help the student appreciate the usefulness of the subject. A number of exercises are included. This book is intended for a 3rd/4th undergraduate course or an introductory graduate course on group representation theory. However, it can also be used as a reference for workers in all areas of mathematics and statistics.