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However, I suspect a more general and more concrete meaning to be older. Commensurability in the classical sense always indicates the existence of a common "unit", such that the two entities are integer multiples of that unit. It would be consistent to call succh a common unit a commensurator. (In
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predates the modern concept of real number, and does not depend of it. On the contrary, it may be used in order to lay a logically sound foundation for the concept of real numbers themselves.
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the case of two commensurable subgroups of a given group, a "commensurator" in this sense would be their intersection, or any other common subgroup with finite indices in both.)
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However, the context in which the term appears in the article is hardly specific enough or even understandable as it stands. It should be either expanded or dropped.
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IMHO, the article initial paragraph now limits itself too much to a special case, expressed in modern terminology. The theory of commensurable and incommensurable
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I know a meaning in group theory, which a google search indicates is rather ubiquitous: the commensurator of a subgroup
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There was a link to Stack (category theory). As the latter has been split, the link has been updated accordingly.
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in both groups. Incidently, the commensurator is itself a subgroup of
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