This book provides an introduction to quasigroup theory along with new structural results on some of the quasigroup classes. Many results are presented with some of them from mathematicians of the former USSR. These included results have not been published before in the western mathematical literature. In addition, many of the achievements obtained with regard to applications of quasigroups in coding theory and cryptology are described.
Table of Contents
Elements of quasigroup theory. Some quasigroup classes. Binary inverse quasigroups. A-nuclei of quasigroups. On two Belousov problems. Quasigroups which have an endomorphism. Structure of n-ary medial quasigroups. Automorphisms of some quasigroups. Orthogonality of quasigroups. Quasigroups and codes. Quasigroups in cryptology. Appendix. References. Index.
Victor Shcherbacov, Ph.D., is a Principle Researcher with the Institute of Mathematics and Computer Science, Academy of Sciences, Moldova.