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Abelian group
/ əˈ²ú¾±Ë±ôɪə²Ô /
noun
- a group the defined binary operation of which is commutative: if a and b are members of an Abelian group then ab = ba
abelian group
/ É™-²úŧ′±ôŧ-É™²Ô /
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˜yÐÄvlog History and Origins
Origin of Abelian group1
C19: named after Niels Henrik Abel (1802–29), Norwegian mathematician
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Example Sentences
A group whose operations are all permutable with each other is called an Abelian group.
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An Abelian group contains subgroups whose orders are any given factors of the order of the group.
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In fact, since every subgroup H of an Abelian group G and the corresponding factor groups G/H are Sylow’s theorem.
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