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mathematical group

 

Definitions from WordNet

Noun mathematical group has 1 sense
  1. group, mathematical group - a set that is closed, associative, has an identity element and every element has an inverse
    --1 is a kind of set
    --1 has particulars: subgroup; Abelian group, commutative group

Definitions from the Web

Mathematical Group

A mathematical group refers to a set of elements with an operation that follows certain properties. It is a fundamental concept in abstract algebra.

Sense 1: Abstract Algebra

In abstract algebra, a mathematical group is a set G with a binary operation * that satisfies four conditions: closure, associativity, identity element, and invertibility. It is denoted as (G, *).

Example Sentence:

In the mathematical group (Z, +), the set of integers Z is closed under addition and every element has an inverse.

Sense 2: Popular Usage

Informally, a mathematical group can refer to a collection of people or things with common characteristics or goals.

Example Sentence:

The chess club formed a mathematical group dedicated to learning advanced strategies.

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