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The relation between a user and a group is:

The user is a member of the group.

What is the converse relation?

The group is a ___ of the user.

What word suits here? Does team or union work?

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    'Community' could be used, but you'd then need say 'The group is a community shared in by the user'. This is probably a lexical gap in English. May 3 at 18:42
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    It might help if you explain the connotation: is this a technical term for a computer operating system where a user is assigned to a group, or is the group an actual, real-world association of people?
    – Stuart F
    May 3 at 19:51
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    @JohnLawler if you see the question, 'non-member' is absolutely not the word I was looking for :( May 4 at 7:40
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    The group is a set of users. In your first sentence, the focus is on belonging to a set. I believe you would like to consider the flip side of this -- encompassing. Voting to reopen because I think that as awkward as the question is, I do understand what OP is looking for. May 5 at 4:14
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    @SouravKannanthaB - I like the language of mathematics and for me, "set" is a natural word which describes real-world relationships. But there are synonyms to consider, e.g. collection. May 5 at 4:25

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