Domain is GAP's name for structured sets.
We already saw examples of domains in Chapters Groups and Homomorphisms
and Vector Spaces and Algebras:
the groups s8 and a8 in Section Permutation groups are domains,
likewise the field f and the vector space v in
Section Vector Spaces are domains.
They were constructed by functions such as Group and GF,
and they could be passed as arguments to other functions such as
DerivedSubgroup and Dimension.
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GAP 4 manual