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mathematical group vs Abelian group

Abelian group vs mathematical group

mathematical group and Abelian group both are nouns.

Word NounAdjectiveVerbAdverb
mathematical group Yes No No No
Abelian group Yes No No No
As nouns, Abelian group is a hyponym of mathematical group; that is, Abelian group 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
  • Abelian group: a group that satisfies the commutative law
Other hyponyms of mathematical group include subgroup, commutative group.
mathematical group (noun) Abelian group (noun)
a set that is closed, associative, has an identity element and every element has an inverse a group that satisfies the commutative law
Difference between mathematical group and Abelian group

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