Orthomorphism
In abstract algebra, an orthomorphism is a certain kind of mapping from a group into itself. Let G be a group, and let θ be a permutation of G. Then θ is an orthomorphism of G if the mapping f defined by f(x) = x−1 θ(x) is also a permutation of G. A permutation φ of G is a complete mapping if the mapping g defined by g(x) = xφ(x) is also a permutation of G.[1] Orthomorphisms and complete mappings are closely related.[2]
References
[edit]- ^ Orthomorphism – Mathworld
- ^ Denes, J.; Keedwell, A.D. (1974), Latin Squares and their Applications, Academic Press, p. 232, ISBN 0-12-209350-X
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