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mathematical group vs subgroup

subgroup vs mathematical group

mathematical group and subgroup both are nouns.

Word NounAdjectiveVerbAdverb
mathematical group Yes No No No
subgroup Yes No No No
As nouns, subgroup is a hyponym of mathematical group; that is, subgroup is a word with a more specific, narrower meaning than mathematical group:
  • mathematical group: a set that is closed, associative, has an identity element and every element has an inverse
  • subgroup: (mathematics) a subset (that is not empty) of a mathematical group
Other hyponyms of mathematical group include Abelian group, commutative group.
mathematical group (noun) subgroup (noun)
a set that is closed, associative, has an identity element and every element has an inverse (mathematics) a subset (that is not empty) of a mathematical group
a distinct and often subordinate group within a group
Difference between mathematical group and subgroup

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