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

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    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.
    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.