Orthomorphisms Of Groups And Pairwise Orthogonal Latin Squares

Download Orthomorphisms Of Groups And Pairwise Orthogonal Latin Squares full books in PDF, epub, and Kindle. Read online Orthomorphisms Of Groups And Pairwise Orthogonal Latin Squares ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Orthogonal Latin Squares Based on Groups

Author : Anthony B. Evans
Publisher : Springer
ISBN 13 : 3319944304
Total Pages : 537 pages
Book Rating : 4.3/5 (199 download)

DOWNLOAD NOW!

Book Synopsis Orthogonal Latin Squares Based on Groups by : Anthony B. Evans

Download or read book Orthogonal Latin Squares Based on Groups written by Anthony B. Evans and published by Springer. This book was released on 2018-08-17 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents a unified exposition of latin squares and mutually orthogonal sets of latin squares based on groups. Its focus is on orthomorphisms and complete mappings of finite groups, while also offering a complete proof of the Hall–Paige conjecture. The use of latin squares in constructions of nets, affine planes, projective planes, and transversal designs also motivates this inquiry. The text begins by introducing fundamental concepts, like the tests for determining whether a latin square is based on a group, as well as orthomorphisms and complete mappings. From there, it describes the existence problem for complete mappings of groups, building up to the proof of the Hall–Paige conjecture. The third part presents a comprehensive study of orthomorphism graphs of groups, while the last part provides a discussion of Cartesian projective planes, related combinatorial structures, and a list of open problems. Expanding the author’s 1992 monograph, Orthomorphism Graphs of Groups, this book is an essential reference tool for mathematics researchers or graduate students tackling latin square problems in combinatorics. Its presentation draws on a basic understanding of finite group theory, finite field theory, linear algebra, and elementary number theory—more advanced theories are introduced in the text as needed.

The Theory of Orthomorphisms of Groups and Orthogonal Latin Squares

Author : A. L. Dulmage
Publisher :
ISBN 13 :
Total Pages : 92 pages
Book Rating : 4.3/5 (91 download)

DOWNLOAD NOW!

Book Synopsis The Theory of Orthomorphisms of Groups and Orthogonal Latin Squares by : A. L. Dulmage

Download or read book The Theory of Orthomorphisms of Groups and Orthogonal Latin Squares written by A. L. Dulmage and published by . This book was released on 1961 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: Orthomorphisms are mappings of a finite group onto itself which produce latin squares orthogonal to the square which is the addition table of the group. This paper gives methods of construction of orthomorphisms, their relation to finite plane geometries and their transformation properties. The theory is applied to all groups of order up to and including 12 and to the Veblen Wedderburn projective plane of order 9.

Orthomorphism Graphs of Groups

Author : Anthony B. Evans
Publisher : Springer
ISBN 13 : 3540475419
Total Pages : 120 pages
Book Rating : 4.5/5 (44 download)

DOWNLOAD NOW!

Book Synopsis Orthomorphism Graphs of Groups by : Anthony B. Evans

Download or read book Orthomorphism Graphs of Groups written by Anthony B. Evans and published by Springer. This book was released on 2006-11-15 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about orthomorphisms and complete mappings of groups, and related constructions of orthogonal latin squares. It brings together, for the first time in book form, many of the results in this area. The aim of this book is to lay the foundations for a theory of orthomorphism graphsof groups, and to encourage research in this area. To this end, many directions for future research are suggested. The material in this book should be accessible to any graduate student who has taken courses in algebra (group theory and field theory). It will mainly be useful in research on combinatorial design theory, group theory and field theory.

CRC Handbook of Combinatorial Designs

Author : Charles J. Colbourn
Publisher : CRC Press
ISBN 13 : 9781420049954
Total Pages : 778 pages
Book Rating : 4.0/5 (499 download)

DOWNLOAD NOW!

Book Synopsis CRC Handbook of Combinatorial Designs by : Charles J. Colbourn

Download or read book CRC Handbook of Combinatorial Designs written by Charles J. Colbourn and published by CRC Press. This book was released on 2010-12-12 with total page 778 pages. Available in PDF, EPUB and Kindle. Book excerpt: From experimental design to cryptography, this comprehensive, easy-to-access reference contains literally all the facts you need on combinatorial designs. It includes constructions of designs, existence results, and properties of designs. Organized into six main parts, the CRC Handbook of Combinatorial Designs covers:

Encyclopaedia of Mathematics

Author : M. Hazewinkel
Publisher : Springer
ISBN 13 : 1489937919
Total Pages : 932 pages
Book Rating : 4.4/5 (899 download)

DOWNLOAD NOW!

Book Synopsis Encyclopaedia of Mathematics by : M. Hazewinkel

Download or read book Encyclopaedia of Mathematics written by M. Hazewinkel and published by Springer. This book was released on 2013-12-01 with total page 932 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Encyclopaedia of Mathematics

Author : Michiel Hazewinkel
Publisher : Springer Science & Business Media
ISBN 13 : 940151237X
Total Pages : 506 pages
Book Rating : 4.4/5 (15 download)

DOWNLOAD NOW!

Book Synopsis Encyclopaedia of Mathematics by : Michiel Hazewinkel

Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: This ENCYCLOPAEDIA OF MA THEMA TICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.

Research Paper

Author :
Publisher :
ISBN 13 :
Total Pages : 370 pages
Book Rating : 4.3/5 (91 download)

DOWNLOAD NOW!

Book Synopsis Research Paper by :

Download or read book Research Paper written by and published by . This book was released on 1973 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Elements of Quasigroup Theory and Applications

Author : Victor Shcherbacov
Publisher : CRC Press
ISBN 13 : 1498721567
Total Pages : 599 pages
Book Rating : 4.4/5 (987 download)

DOWNLOAD NOW!

Book Synopsis Elements of Quasigroup Theory and Applications by : Victor Shcherbacov

Download or read book Elements of Quasigroup Theory and Applications written by Victor Shcherbacov and published by CRC Press. This book was released on 2017-05-12 with total page 599 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understanding Interaction is a book that explores the interaction between people and technology, in the broader context of the relations between the human made and the natural environments. It is not just about digital technologies – our computers, smart phones, the Internet – but all our technologies such as mechanical, electrical and electronic. Our ancestors started creating mechanical tools and shaping their environments millions of years ago, developing cultures and languages, which in turn influenced our evolution. Volume 1 of Understanding Interaction looks into this deep history – starting from the tool creating period (the longest and most influential on our physical and mental capacities), to the settlement period (agriculture, domestication, villages and cities, written language), the industrial period (science, engineering, reformation and renaissance), and finally the communication period (mass media, digital technologies, global networks). Volume 2 looks into humans in interaction – our physiology, anatomy, neurology, psychology, how we experience and influence the world, and how we (think we) think. From this transdisciplinary understanding, design approaches and frameworks are presented, to potentially guide future developments and innovations. The aim of the book is to be guide and inspiration for designers, artists, engineers, psychologists, media producers, social scientists etc., and as such be useful for both novices and more experienced practitioners.

Constructions and Combinatorial Problems in Design of Experiments

Author : Damaraju Raghavarao
Publisher : John Wiley & Sons
ISBN 13 :
Total Pages : 424 pages
Book Rating : 4.:/5 (319 download)

DOWNLOAD NOW!

Book Synopsis Constructions and Combinatorial Problems in Design of Experiments by : Damaraju Raghavarao

Download or read book Constructions and Combinatorial Problems in Design of Experiments written by Damaraju Raghavarao and published by John Wiley & Sons. This book was released on 1971 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complete sets of mutually orthogonal latin squares; Orthogonal arrays; Pairwise balandec designs and mutually orthogonal latin squares; General properties of incomplete block designs; Balanced incomplete block designs; Systems of distinct representatives and youden squares; Tactical configuration and doubly balanced designs; Partially balanced incomplet block designs; Graph theory and partial geometries; Duals of incomplete block designsMathematics for statisticians.

Combinatorics Advances

Author : Charles J. Colbourn
Publisher : Springer Science & Business Media
ISBN 13 : 146133554X
Total Pages : 331 pages
Book Rating : 4.4/5 (613 download)

DOWNLOAD NOW!

Book Synopsis Combinatorics Advances by : Charles J. Colbourn

Download or read book Combinatorics Advances written by Charles J. Colbourn and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: On March 28~31, 1994 (Farvardin 8~11, 1373 by Iranian calendar), the Twenty fifth Annual Iranian Mathematics Conference (AIMC25) was held at Sharif University of Technology in Tehran, Islamic Republic of Iran. Its sponsors in~ eluded the Iranian Mathematical Society, and the Department of Mathematical Sciences at Sharif University of Technology. Among the keynote speakers were Professor Dr. Andreas Dress and Professor Richard K. Guy. Their plenary lec~ tures on combinatorial themes were complemented by invited and contributed lectures in a Combinatorics Session. This book is a collection of refereed papers, submitted primarily by the participants after the conference. The topics covered are diverse, spanning a wide range of combinatorics and al~ lied areas in discrete mathematics. Perhaps the strength and variety of the pa~ pers here serve as the best indications that combinatorics is advancing quickly, and that the Iranian mathematics community contains very active contributors. We hope that you find the papers mathematically stimulating, and look forward to a long and productive growth of combinatorial mathematics in Iran.

Congressus Numerantium

Author :
Publisher :
ISBN 13 :
Total Pages : 622 pages
Book Rating : 4.0/5 ( download)

DOWNLOAD NOW!

Book Synopsis Congressus Numerantium by :

Download or read book Congressus Numerantium written by and published by . This book was released on 1978 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Proceedings of the Thirteenth Manitoba Conference on Numerical Mathematics and Computing : Held at the University of Manitoba, September 29-October 1, 1983

Download Proceedings of the Thirteenth Manitoba Conference on Numerical Mathematics and Computing : Held at the University of Manitoba, September 29-October 1, 1983 PDF Online Free

Author : Manitoba Conference on Numerical Mathematics and Computing (13th : 1983 : University of Manitoba)
Publisher :
ISBN 13 : 9780919628427
Total Pages : 396 pages
Book Rating : 4.6/5 (284 download)

DOWNLOAD NOW!

Book Synopsis Proceedings of the Thirteenth Manitoba Conference on Numerical Mathematics and Computing : Held at the University of Manitoba, September 29-October 1, 1983 by : Manitoba Conference on Numerical Mathematics and Computing (13th : 1983 : University of Manitoba)

Download or read book Proceedings of the Thirteenth Manitoba Conference on Numerical Mathematics and Computing : Held at the University of Manitoba, September 29-October 1, 1983 written by Manitoba Conference on Numerical Mathematics and Computing (13th : 1983 : University of Manitoba) and published by . This book was released on 1984 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Combinatorics and Finite Fields

Author : Kai-Uwe Schmidt
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110641968
Total Pages : 459 pages
Book Rating : 4.1/5 (16 download)

DOWNLOAD NOW!

Book Synopsis Combinatorics and Finite Fields by : Kai-Uwe Schmidt

Download or read book Combinatorics and Finite Fields written by Kai-Uwe Schmidt and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-07-08 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorics and finite fields are of great importance in modern applications such as in the analysis of algorithms, in information and communication theory, and in signal processing and coding theory. This book contains survey articles on topics such as difference sets, polynomials, and pseudorandomness.

Combinatorics

Author : M. Hall Jr.
Publisher : Springer Science & Business Media
ISBN 13 : 940101826X
Total Pages : 480 pages
Book Rating : 4.4/5 (1 download)

DOWNLOAD NOW!

Book Synopsis Combinatorics by : M. Hall Jr.

Download or read book Combinatorics written by M. Hall Jr. and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorics has come of age. It had its beginnings in a number of puzzles which have still not lost their charm. Among these are EULER'S problem of the 36 officers and the KONIGSBERG bridge problem, BACHET's problem of the weights, and the Reverend T.P. KIRKMAN'S problem of the schoolgirls. Many of the topics treated in ROUSE BALL'S Recreational Mathe matics belong to combinatorial theory. All of this has now changed. The solution of the puzzles has led to a large and sophisticated theory with many complex ramifications. And it seems probable that the four color problem will only be solved in terms of as yet undiscovered deep results in graph theory. Combinatorics and the theory of numbers have much in common. In both theories there are many prob lems which are easy to state in terms understandable by the layman, but whose solution depends on complicated and abstruse methods. And there are now interconnections between these theories in terms of which each enriches the other. Combinatorics includes a diversity of topics which do however have interrelations in superficially unexpected ways. The instructional lectures included in these proceedings have been divided into six major areas: 1. Theory of designs; 2. Graph theory; 3. Combinatorial group theory; 4. Finite geometry; 5. Foundations, partitions and combinatorial geometry; 6. Coding theory. They are designed to give an overview of the classical foundations of the subjects treated and also some indication of the present frontiers of research.

The Journal of Combinatorial Mathematics and Combinatorial Computing

Author :
Publisher :
ISBN 13 :
Total Pages : 1146 pages
Book Rating : 4.E/5 ( download)

DOWNLOAD NOW!

Book Synopsis The Journal of Combinatorial Mathematics and Combinatorial Computing by :

Download or read book The Journal of Combinatorial Mathematics and Combinatorial Computing written by and published by . This book was released on 2000 with total page 1146 pages. Available in PDF, EPUB and Kindle. Book excerpt:

JCMCC

Author :
Publisher :
ISBN 13 :
Total Pages : 530 pages
Book Rating : 4.3/5 (91 download)

DOWNLOAD NOW!

Book Synopsis JCMCC by :

Download or read book JCMCC written by and published by . This book was released on 2003 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Course in Combinatorics

Author : J. H. van Lint
Publisher : Cambridge University Press
ISBN 13 : 9780521006019
Total Pages : 620 pages
Book Rating : 4.0/5 (6 download)

DOWNLOAD NOW!

Book Synopsis A Course in Combinatorics by : J. H. van Lint

Download or read book A Course in Combinatorics written by J. H. van Lint and published by Cambridge University Press. This book was released on 2001-11-22 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second edition of a popular book on combinatorics, a subject dealing with ways of arranging and distributing objects, and which involves ideas from geometry, algebra and analysis. The breadth of the theory is matched by that of its applications, which include topics as diverse as codes, circuit design and algorithm complexity. It has thus become essential for workers in many scientific fields to have some familiarity with the subject. The authors have tried to be as comprehensive as possible, dealing in a unified manner with, for example, graph theory, extremal problems, designs, colorings and codes. The depth and breadth of the coverage make the book a unique guide to the whole of the subject. The book is ideal for courses on combinatorical mathematics at the advanced undergraduate or beginning graduate level. Working mathematicians and scientists will also find it a valuable introduction and reference.