Orthomorphism

id: orthomorphism-299-12645096
title: Orthomorphism
text: 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. Orthomorphisms and complete mappings are closely related.
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Orthomorphism
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date modified: 2021-12-23T22:10:08Z
main entity: {"identifier":"Q18358340","url":"https://www.wikidata.org/entity/Q18358340"}
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