Modern Algebra : Definition and Examples of Subgroups

Learn the definition of a subgroup.


The following video describing the definition of a subgroup along with a few examples.


In this video, the basics of what it means to be a subgroup explain, and some fun problems working with subgroups are shown.

The Subgroup Test

An easier way to show that a subset of a group is a subgroup: just check closure and inverses.


The Center of a Group

The definition of the center of a group is given, along with some examples. Then, a proof that the center of a group is a subgroup of the group is provided.

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