# Definitions and Examples : Groups, Abelian Groups and Non-Abelian Groups

1. I need a simple definition of a

(1) group

(2) abelian group

(3) nonabelian group

2. Give one example of an abelian group and 2 examples of nonabelian groups.

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need some simple examples.

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1. I need a simple definition of a

(1) group

A group is a finite or infinite set of elements together with a binary operation (called the group operation) that together satisfy the four fundamental properties of closure, associativity, the identity property, and the inverse ...

#### Solution Summary

Definitions and Examples are provided for Groups, Abelian Groups and Non-Abelian Groups.

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