Question

any finite group is abelian true or false​

Answer 1

Answer:

true hope it help you mark me as brainlist

Answer 2

Concept:

We first need to recall the concept of finite and abelian groups to answer this question.

A  non empty set G together with a binary composition is said to form a group if it satisfies the associative property, existence of identity and existence of inverse.

If the set G is finite(i.e., finite number of  elements) it is called a finite group.

If the group G also satisfies commutative property, then the group G is called abelian group.  

Given:

The statement given is :

Any finite group is abelian.

Solution:

The given statement is not always true.

One of the example is dihedral group $D_{n}$ of order 6 .

It is the smallest finite non abelian group.

Hence, the given statement "Any finite group is abelian" is false.