The order of an element in a group is the smallest positive power of the element which gives you the identity element. We discuss 3 examples: elements of finite order in the real numbers, complex numbers, and a 2x2 rotation matrix.

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The order of an element in a group is the smallest positive power of the element which gives you the identity element. We discuss 3 examples: elements of finite order in the real numbers, complex numbers, and a 2x2 rotation matrix.

Stay tuned! We'll be adding additional learning resources very soon.

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Course Description

Abstract Algebra deals with groups, rings, fields, and modules. These are abstract structures which appear in many different branches of mathematics, including geometry, number theory, topology, and more. They even appear in scientific topics such as quantum mechanics.