Anthony B Evans

(Author)

Orthogonal Latin Squares Based on Groups (2018)Hardcover - 2018, 5 September 2018

Orthogonal Latin Squares Based on Groups (2018)
Qty
1
Turbo
Ships in 2 - 3 days
In Stock
Free Delivery
Cash on Delivery
15 Days
Free Returns
Secure Checkout
Buy More, Save More
Part of Series
Developments in Mathematics
Print Length
537 pages
Language
English
Publisher
Springer
Date Published
5 Sep 2018
ISBN-10
3319944290
ISBN-13
9783319944296

Description

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.

Product Details

Author:
Anthony B Evans
Book Edition:
2018
Book Format:
Hardcover
Country of Origin:
NL
Date Published:
5 September 2018
Dimensions:
23.39 x 15.6 x 3.02 cm
ISBN-10:
3319944290
ISBN-13:
9783319944296
Language:
English
Location:
Cham
Pages:
537
Publisher:
Weight:
948.01 gm

Related Categories


Need Help?
+971 6 731 0280
support@gzb.ae

About UsContact UsPayment MethodsFAQsShipping PolicyRefund and ReturnTerms of UsePrivacy PolicyCookie Notice

VisaMastercardCash on Delivery

© 2024 White Lion General Trading LLC. All rights reserved.