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MATHEMATICAL GROUP

(noun)
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Definitions

There is 1 meaning of the phrase Mathematical Group.

Mathematical Group - as a noun

A set that is closed, associative, has an identity element and every element has an inverse

Synonyms (Exact Relations)
group
Hypernyms (Closely Related)
set
Hyponyms (Broadly Related)

Example Sentences

"In abstract algebra, a mathematical group is a set with a binary operation that satisfies certain axioms."
"The symmetry group of the square is an example of a mathematical group."
"The concept of a mathematical group generalizes many familiar structures such as integers under addition."
"A mathematical group must have an identity element, which leaves other elements unchanged under the defined operation."
"The order of a mathematical group is the number of elements it contains."
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