WordNet-Online
Free dictionary and thesaurus of English. Definitions, synonyms, antonyms and more...
Hint: double-click any word to get it searched!

Google
 

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.

Related Products:

Explore related products on Amazon:

math teacher math word infinite math world mathemathics mathematic mathematical mathematical function mathematical functions mathematical group mathematical groupings mathematical logic mathematical notation mathematical operation mathematical process mathematical product mathematical proof mathematical relation

Sponsored (shop thru our affiliate link to help maintain this site):

WordNet-Online
Home | Free dictionary software | Copyright notice | Contact us | Network & desktop search | Search My Network | LAN Find | Reminder software | Software downloads | WordNet dictionary | Automotive thesaurus