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Orthomorphism : ウィキペディア英語版 | 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''.〔( Orthomorphism – Mathworld )〕 Orthomorphisms and complete mappings are closely related. ==References==
抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Orthomorphism」の詳細全文を読む
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