Subset vs Subgroup - What's the difference?
subset | subgroup |
(set theory) With respect to another set, a set such that each of its elements is also an element of the other set.
A group of things or people, all of which are in a specified larger group.
A group within a larger group; a group whose members are some, but not all, of the members of a larger group.
(group theory) A subset H'' of a group ''G'' that is itself a group and has the same binary operation as ''G .
Subgroup is a synonym of subset.
As nouns the difference between subset and subgroup
is that subset is with respect to another set, a set such that each of its elements is also an element of the other set while subgroup is a group within a larger group; a group whose members are some, but not all, of the members of a larger group.As a verb subgroup is
to divide or classify into subgroups.subset
English
Noun
(en noun)- The set of integers is a subset of the set of reals.
- The set {a, b} is a both a subset and a proper subset of {a, b, c} while the set {a, b, c} is a subset of {a, b, c} but not a proper subset of {a, b, c}.
- We asked a subset of the population of the town for their opinion.