Orthomorphisms of Groups

Orthomorphisms of dihedral groups

✍ Andrew Bowler 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 169 KB

Orthomorphism graphs of groups

✍ Anthony B. Evans 📂 Article 📅 1989 🏛 Springer 🌐 English ⚖ 473 KB

Orthomorphism Graphs of Groups

✍ Anthony B. Evans 📂 Library 📅 1993 🏛 Springer 🌐 English ⚖ 491 KB

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 group

Orthomorphism Graphs of Groups

✍ Anthony B. Evans (auth.) 📂 Library 📅 1992 🏛 Springer 🌐 English ⚖ 837 KB

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 group

On orthogonal orthomorphisms of cyclic a

On orthogonal orthomorphisms of cyclic and non-abelian groups

✍ Anthony B. Evans 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 68 KB

On orthogonal orthomorphisms of cyclic a

On orthogonal orthomorphisms of cyclic and non-abelian groups. II

✍ Anthony B. Evans 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 187 KB 👁 1 views

## Abstract We construct sets of three pairwise orthogonal orthomorphisms of __Z__~3__n__~, __n__ not divisible by either 2 or 3, __n__ ≠ 7, 17. Combined with results in the literature, this reduces the problem of determining for which __v__, there exist three pairwise orthogonal orthomorphisms of