14 lines
662 B
Markdown
14 lines
662 B
Markdown
---
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title: "Orthomorphism"
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chunk: 1/1
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source: "https://en.wikipedia.org/wiki/Orthomorphism"
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category: "reference"
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tags: "science, encyclopedia"
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date_saved: "2026-05-05T07:24:39.493560+00:00"
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instance: "kb-cron"
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---
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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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== References == |