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Orthomorphism


Let G be a group and theta n permutation of G. Then theta is an orthomorphism of G if the self-mapping nu of G defined by nu(x)=x^(-1)theta(x) is also an permutation of G.


See also

Permutation

This entry contributed by Jordan Bell

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References

Evans, A. B. "On Strong Complete Mappings." Congr. Numer. 70, 241-248, 1990.

Referenced on Wolfram|Alpha

Orthomorphism

Cite this as:

Bell, Jordan. "Orthomorphism." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/Orthomorphism.html

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