Resolved: "what is abelin group?"

College
Algebra
Abstract algebra

Cem Hayes

Answered question

2021-01-23

what is abelin group?

Answer & Explanation

brawnyN

Skilled2021-01-24Added 91 answers

An Abelian group (named after the mathematician Niels Abel) is a group where the group operation is commutative. That means that for any two elements a,ba,b of group G,

a \times b = b \times a

Some examples include the integers under addition, the non-zero real numbers under multiplication, and every vector space under vector addition.
A non-example is the set of n×nn×n invertible matrices under multiplication. This set is a group, but, except for the case of n=1, is not an Abelian group because matrix multiplication is not commutative.

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