what is abelin group?

Cem Hayes 2021-01-23 Answered
what is abelin group?
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brawnyN
Answered 2021-01-24 Author has 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×b=b×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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