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exceptional isomorphism
In mathematics, an exceptional isomorphism, also called an accidental isomorphism, is an isomorphism between members ''a''''i'' and ''b''''j'' of two families (usually infinite) of mathematical objects, that is not an example of a pattern of such isomorphisms.〔Because these series of objects are presented differently, they are not identical objects (do not have identical descriptions), but turn out to describe the same object, hence one refers to this as an isomorphism, not an equality (identity).〕 These coincidences are at times considered a matter of trivia,〔 but in other respects they can give rise to other phenomena, notably exceptional objects.〔 In the below, coincidences are listed in all places they occur.
== Groups ==
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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